Triangles 5 | CAT Preparation 2024 | Geometry | Quantitative Aptitude

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Triangles by Ravi Prakash | Geometry Quantitative Aptitude for CAT 2024
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How to Prepare for Quantitative Aptitude
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6 фев 2019

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Комментарии : 183

@anuragagrawal6699 3 года назад

Binge watching these concept full videos...more worth than paid coaching..

@pulkitsinha6966 4 года назад

What is the area of the triangle with R = 18 and r = 8? You did not mention that the triangle is right angled. So how can we assume it ? I know that the topic that was going on was right angled triangles but still....I feel it should have been mentioned in the question..

@pathakajay1996 4 года назад

It cannot be a right angles triangle R/r for a right angled traingle is always 2

@DilipKumar-mv1bh 4 года назад

@@pathakajay1996 no brother 2 is for equilateral triangle

@aryastark2302 4 года назад

Valid point. @pulkit sinha

@rashmidutta7151 4 года назад

Same doubt I had

@avinashnair8433 4 года назад

Yes Pulkit. I feel the question should have mentioned about the right angled triangle. Otherwise the sum is wrong

@user-ii5bc1ol2z 10 месяцев назад

Your way of teaching is so simple and understandable that one can literally binge watch the videos without feeling bored or tired. Kudos to you Sir!!

@dikshakumari1332 3 месяца назад

Geometry was one of the weakest topic when I was in school and during my cat prepration it has become one of the most interesting topic.and it feels like solving more and more sums.

@xnervemusic Год назад

Ravi Sir, I really respect you for teaching the super important concept in super easy way than any one in RU-vid

@pallabisaha2421 Год назад

No one can match ur teaching level sir, ur sessions have made so easy to understand geometry, mind-blowing series... grateful for the series.

@pratikmaitra8543 5 лет назад

Sir your videos are really concise and informative. Hats off to you sir.

@lewintikariha9126 2 года назад

Sir, the first question could be solved in less than 30 seconds by assuming the length of AD with the help of Triplets, AB being 15 and Hypo. could only be the largest side of triangle ABD, 15 = 3x5 if we take triplet (3,4 and 5) 3x4 = 12 being AB, 9 being BD, DC turns out to be 25-9 = 16, forming triplet (3,4 and 5) again, with 4, thereafter, r= S-h. Thanks for the efforts you've put in for us!

@jarus1 Год назад

you cannot assume the sides to be in 3,4,5 set

@kanhasharma217 3 года назад

sir you are amazing thank you for making and uploading such videos

@manisharaj5143 11 месяцев назад

In Last Que a-b = 7 but its given that b>a.

@prakharshhukla7081 3 года назад

sir in the question with R=18 r=8 how can we assume the triangle to be right angle triangle?

@shailja501 Год назад

Same doubt!

@harshkumar1338 Год назад

yes, i dont think we can, sir just assumed it as we are studying right angles triangles. What would be the general approach for such a question? Can it be solved?

@apoorvsingh9507 Год назад

@@harshkumar1338 if it is right angle triangle then if we join orthocenter to circumcenter then it will be equal to altitude of triangle which is also equals circumradius of triangle now considering hypotenuse as base we can apply 1/2 base *height to get area no incentre required. but answer comes out to be different from my method i don't understand where i am going wrong.

@abdulraqeebansari7141 10 месяцев назад

@@apoorvsingh9507we can't apply 1/2*b*h bcoz hypotenuse is neither base nor height of the triangle. Hope you got it.

@ManuSrivastava_ 2 года назад

Thank you so much sir.❤❤

@m.rakshitjain7040 2 года назад

Rectangle wala sum.... Superb 💯

@vishesh_raina Год назад

Alternate approach to dist b/w incenters vala sum in rectangle: For both triangles: R = mid pt of AC = 7.5 In triangle ABC: s = (9 + 12 + 15)/2 = 18 h = 15 So r = s - h = 3 d ^ 2 = R (R - 2r) = 7.5 * 1.5 So d = 1.5 * (5)^1/2 Likewise for triangle ADC: r = s - h = 3 d = 1.5 * (5)^1/2 the dist. b/w their incenters is 2*d = 3 * (5)^1/2

@Kumar-s_1_ques 5 месяцев назад

Thanks sir 🙏 🎉😊

@anshikachaudhary8178 Год назад

Thank you sir 🙏

@SM-ew1jt 4 года назад

Sir in a

@DevendraSingh-hs1gj 4 года назад

u have to satisfy the condition also its a trick for finding basic triplet only

@kinjalshah1949 4 года назад

Ya same

@Sayan_Ghosh 4 года назад

For 12 compare it with 3 ( here the triplet will be 3-4-5) By comparing 3 with 12 ...we have to multiply by 4 ...so for getting 'c' 5*4=20 Hence a= 12 B= 16 C=20 will be the ans .....and also they will satisfy the given equation

@Heisennburg 4 года назад

@@Sayan_Ghosh the difference is not 7 & 2 bro

@pankajkumar007 4 года назад

(12,35,37) is a Pythagorean triplet.

@DADDY-do3ys 10 месяцев назад

easy formula to find inradius = base + perpendicular - hypo./2

@debiprasaddash6403 Год назад

In question What is the area of triangle with R=18 and r = 8, How do we know this is right angle triangle it is not mentioned in the question .

@kamyaagrawal7838 5 месяцев назад

@visheshgupta9326 Год назад

In rectangle q , the q states for incentre and not inradius. So in incentre angle bisector is drawn and not a circle?? Please anyone can reply.

@prakharshhukla7081 3 года назад

in the last question how will we understand that a b c are triplet just because a

@aadik29100 2 года назад

because it is right angled triangle

@Shivam_General_Fitness Год назад

Thanku sir

@shashanktomar7670 Год назад

sir in 2nd ques we can just assume R as circumradius which will be half of AD and 2x the formula d^2= R(R-2r)

@devarshisharma1033 6 месяцев назад

That is the difference between R & r and the question is asking difference of 2 incentres (r) only.

@kshitizdayama3450 3 месяца назад

R cannot be circumradius because AD is not a median. Hope this helps :)

@TheTani200 2 года назад

Thank you sir

@user-ji7ug7fl4b 11 месяцев назад

sir cant we apply the concept of finding the triplets discussed in the previous video , then for 12 other 2 will be 35 and 37.

@ishitabansal6397 Месяц назад

yes i have he same question , and also if 12 already has a triplet with 37, 37, then how can it make another triplet with 12, 22.5, 25.5

@PinalJain-pv6ud Месяц назад

Thank you sir for your efforts.

@Bella-sr4kl Год назад

Thankyou sir

@abhiram2012 3 года назад

Great work

@mockkingbhau2932 Год назад

1 jw addicted to your lectures...

@tanyasharma1521 2 года назад

sir in the last question, how to get that approach to write 9b as 2b+7b and then take commons and the approach to that whole solution?

@VinayKumar-nz8lz Год назад

It's not some concrete theory but you want to analyze the numbers by simplifying them as much as possible - 7b clubbed with 7c and 2b clubbed with 2a worked because the coefficients formed a relation 2+7=9. Any other similar coeff. combination would have worked too, but matching them up with the pythagorean triplets could be difficult.

@roshanshahid9262 2 года назад

Sir if we use the equation a-b/ b-c for triplet 8,15 and 17 also given the condition that a

@fadhilu5171 Год назад

7/2 is ratio, need not be the actual value

@_khyati Год назад

Here a-b (8-15) is also negative. Hence both negatives get cancelled in numerator as well the denominator

@ishani1481 Год назад

Why can't we apply the method here where you taught us to find Pythagorean triplets for even no. When a value is smallest and even. That way the answer is b= 35 c = 37, although it is not satisfying the condition. Can someone explain?

@CYR0ss 11 месяцев назад

cause that way the ratio doesn't match.

@jayrajkalara270 4 года назад

At 15:02 there is not mention about it is a right angle triangle..so how can we are assume that it's right angle triangle...and said R=½*hypotenuse.....

@sidhantsachdeva_0209 2 года назад

thank you :)

@shivanshsingh5202 4 месяца назад

14:33 it is not mentioned that the triangle was right angled hence the solution is void

@kathicaghosh1336 Месяц назад

In the first problem, isn't the s is 23 while calculating r2,and thus the sum of inradius is 3+3=6?

@rajanvarghese5013 2 года назад

sir in the question to find area of triangle whose R=18 and r=8 how can we take R=1/2h ? it is not given that its a right angled triangle

@Super-lj1rf Год назад

wahi galat hai!!

@VinayKumar-nz8lz Год назад

He actually meant for it to be a right triangle, but falied to mention it.

@purushottamgholap8013 4 года назад

Sir we had p minus hyp i.e. 88-36 = 52 as base x height into half is area

@sharmilayadav1567 4 года назад

52 is base + height Not base × height

@gauravkumarsingh2066 7 месяцев назад

5 (345) is a triplet and We know in a right angled triangle the perpendicular and height is same. Then how h= 12 is coming in case 1 it must be 15 or 20 ? Anyone

@saurabhbhadange408 3 года назад

tysm sir

@mukulpathak4924 Год назад

In the last question, where we know that a

@akkii08 Год назад

thats because triplets can be formed in decimals as well like here in the last question the origional triplet is 1.5 times the origional

@parassingal4904 Год назад

same doubt by this method i got b=35 c=37

@niveditharajesh71 3 года назад

how do u know itss a right angle triance in the second last q plsss reply

@kamyaagrawal7838 5 месяцев назад

hey did you clear cat?

@ItsEshan392 3 года назад

In last question ..Why we didn't use the even no rule you told in one of the previous lectures to find the hypotenuse?? Like a=12 so 12-35-37 c= 37

@riyamayekar4449 3 года назад

even i agree with the same logic but if we put the values of a=12,b=35 & c=37, it doesnt satisfy the 2a+7c=9b equation.....

@hannahanneabraham97 2 года назад

Not sure but I think you can't use that because some numbers are common to multiple triplets. For example, 6-10-11 is a triplet, and 10-24-26 is a triplet.

@KhabbuKiKitchen Год назад

Last question went like a bouncer

@aniarahman4062 10 месяцев назад

In Distance between the incenters question how do we know that the vertical distance will be 3 cm

@mahesh_kndpl 4 месяца назад

Bro, because in-radius has come 3cm

@friedsugar2701 Месяц назад

Sir how does one know that the Triangle at 14:55 is a right angled triangle?

@VinayKumar-xi2wj 3 года назад

Hello sir! In last question you have taken values 8,15,17 in hit and trail. Can we solve in any other way other than hit and trial?

@Nikhilkumar-op5nz 3 года назад

Find triplet by even no.

@DTechLady 2 года назад

@@Nikhilkumar-op5nz if we do that we will get 35 37 which is incorrect. Because 12 35 and 37 will be the answer in that case.

@gunjanchaudhary2999 Год назад

@@DTechLadyno it won’t be cuz it’s not satisfying the given equation

@Super-lj1rf 6 месяцев назад

At 15 min in question sir didn't mention it is right angle triangle

@mayankmittal4490 3 года назад

Why in last question, since it is a rt triangle, we can't apply the way to find the Pythagoras triplet since one side a= 12 ( even ) is given ???? simply can't we do , a=12 , a2= 144, a2/4= 36, 36 is the avg of 35 and 37 , so 37 is the hypotenuse ????

@shubhamnimje419 3 года назад

i also have the same doubt. It seems there is an exception to that rule which sir didn't highlight.

@honeyrosha9449 Год назад

Pythagorean triplets are for only integral values.. there can be many other values (fractional/decimal) that satisfies Pythagoras theorem

@Sustainer946 4 года назад

16.22 in this question the triangle is right angle right?

@user-nb5xc8jn2f Год назад

17:59 Sir in the question 2a+7c=9b Sir if we do 12+7=19 and 19+2=21. Putting them in equation 2(12)+7(21)=9(19) 24+147=171 171=171 Than the c would be 21 So sir now I'm confused that c would be 21 or 25.5?

@parassingal4904 Год назад

How did get 12+7=19 n 19+2=21?

@Himanshu-nj1ti 10 месяцев назад

sir In last question 3,4,5 also satisfied

@hammerguy123 4 года назад

Sir, Question at @10:15 can be done in much easier way. find distance between circumcentre and inradius and then multiply by 2.

@shubhammaheshwari1191 3 года назад

Why multiply by 2?

@eltenjjohni5216 3 года назад

Yes correct

@eltenjjohni5216 3 года назад

Sir probably just wanted to explain some extra concepts and novel perspective

@eltenjjohni5216 3 года назад

@@shubhammaheshwari1191 cuz distance between circumcentre and incentre will be exactly half of distance of PQ

@shubhammaheshwari1191 3 года назад

@@eltenjjohni5216 Arre, that's just saying it in a different way. I am asking, how can you say that it would be half of the length of PQ?

@vamsireddy357 4 года назад

sir , in the last question if you were to take 8 ,15,17 as a triplet and conclude 12 as 1.5 times 8 ,then if we do the same for 15 which will give 22.5 and a and b difference will not be 7??

@shreyvarma9375 4 года назад

a-b/b-c is a ratio if you maultiply all the elements with a same number like in this case 1.5 it can get cancelled hence no effect.

@hammerguy123 4 года назад

the difference will be 7*1.5.

@dinusindhu5850 17 дней назад

In Question 1 how did sir take base as 25 guys, 25 is hypotenuse right, We cannot take that as base right?

@shatishankaryadav8428 5 лет назад

sir make on more video on geometry question topic by topic for ssc cgl 2019

@Rodha 5 лет назад

We will add very soon

@vishugoyal9027 Год назад

In last ques. a is given a 12 already and in ans. you prove a=8. Can u pls explain?

@VinayKumar-nz8lz Год назад

He just used a=8 to choose the triplet. Since this is a pyth triplet 1.5*8 - 1.5*15 - 1.5*17 is also going to be a pytha triplet.

@gauti_gaming 4 года назад

Can't the last question be done just by calculating the triplets of 12 and then finding c?

@shreyvarma9375 4 года назад

you cannot as there can be numerous triplets of 12 so finding which triplet would be able to satisfy the given equation would be absurd

@NeerajTiwarithekratoshercules 9 месяцев назад

Yes this actually doesn't satisfies the Equation. Although it satisfies the Triplet.

@shivanijethliya263 3 года назад

In the question where area and perimeter were both 80 units and we were supposed to find hypotenuse, please check out my solution and tell me where I went wrong. a+b+c=80 and 1/2(a*b)=80 i.e. c is hypotenuse (value is to be found) a+b=80-c and a*b=160 c=(a**2+b**2)**0.5 c**2=a**2+b**2 c**2+2ab = a**2+b**2+2ab c**2 + 2(160) = (a+b)**2 C**2 + 320 = (80-c)**2 c**2 + 320 = 6400 + c**2 - 160c 160c = 6720 c = 42 Sir solved it using another method and got answer 38 Please help me out with this.....

@navneetsingh2905 3 года назад

in the second last step , there is calculation mistake ,instead of subtracting 320 from 6400 you did the addition . thats why it is coming wrong.

@chandansinghpatni 3 года назад

yes!in the last step it comes 6080=160c

@sankethujare5520 4 года назад

nice one

@akshayrawat6258 4 года назад

What was the use of a=12 then

@___DannyBoyka 4 года назад

The value of A is 12 only....12,22.5, 25.5.......The ratio of the triplets when increased by same constant value will remain the same.... For ex: 3:4:5 is a triple, so is (17*3:17*4:17*5 )

@nehatiwari9297 4 года назад

How did we calculated AD?

@sneha6652 Год назад

5:17 why sir added r1+r2? The question had asked separate inradius.

@VinayKumar-nz8lz Год назад

The question asked for sum of inradii

@kushagra4379 4 года назад

I hit the like button just after I saw the solution to the last question. I spent 10-15 mins on that question without getting an answer

@satnamsingh-lh7iv 3 года назад

Sir a question in right angle triangle isn't the incenter is perpendicular vertex Like in rectangle question point d should be in centre for one and B for other and 15 there distance

@vatsaljain2969 8 месяцев назад

in last question c can be 16 as well

@devarshisharma1033 6 месяцев назад

How?

@mahimagoyen 4 года назад

In question at time stamp 14:59. How do we know that it's a right angle triangle?

@arjitkumarprince5537 4 года назад

There are certain mistakes that you need to overlook. This isn’t CAT exam where you can make a claim .. This is just a simple man teaching people like us. Such small mistakes shouldn’t be overemphasised. You are not a class 2 student where you will get praise from others on mentioning such trivial mistakes

@SukhwinderSingh-dj2yy 3 года назад

15:56 how we know that triangle is right angle?

@ssagnikssanyal2305 3 года назад

it will give in qntn paper where we assume as the video about right-angle triangle

@ayushkhilosiya246 2 года назад

This is right angel triangle coz I searched this on Google

@swatibisht4572 4 года назад

at 14:02 why didn't sir took semiperimeter as half of perimeter?

@arjitkumarprince5537 4 года назад

Look again what is s? s=P/2. P=80 and therefore s=40

@swatibisht4572 4 года назад

@@arjitkumarprince5537 oh yes. Thank you. I got confused before.

@mayuribhane698 4 года назад

👍👍👍👍👍👍👍

@sarangmanoj4864 10 месяцев назад

Sir, in the last question how would we know that a,b,c is a triplets

@ss590 10 месяцев назад

It's given it is a right angled triangle

@deepika2834 4 месяца назад

in qn it is mentioned that a

@ksaikiran1781 4 года назад

in the last question the answer should be 20.....8 15 and 17 doesn't satisfy

@aadik29100 2 года назад

12,22.5,25.5 satisfies

@k.s8317 3 года назад

how u got 15 in 2nd soln i.e rectangle

@chandansinghpatni 3 года назад

Is not 12 , 9 &15 make tripltets

@tejasanthosh16 3 года назад

Sir, @2:42 , how did you take the area as A=1/2*15*20=150 without considering the other side of triangle 25 , but only 15, 20? Please Explain me...

@youshouldhavecometoshirato5673 3 года назад

Because the right angle forms at A, so the breadth and height would be 15 and 20.

@chandansinghpatni 3 года назад

Look 25 is hypotenuse, not base & height!

@redcooleditz2536 3 дня назад

Sorry to say 20-21-24 is not a triplet, please check

@DhirajSingh-mn6zu 5 лет назад

Launch your full paid course sir

@Rodha 5 лет назад

www.rodha.in

@aayushtiwary 3 года назад

Distance between the incentres question...we can also solve it by finding out the coordinates of the 2 incentres

@chandansinghpatni 3 года назад

How you can find the coordinates of incentives?

@tanyasharma1521 2 года назад

how?

@priyadharsanmarimurugan8768 Год назад

When a is 12... we can take b as 19 and c as 21... even eqn got satisfied..and the given condition 2a+7c = 9b also get satisfied... but how did u get this ans that c is 25.5.....🙄🙄🙄

@dataaccount1699 Год назад

12-19-21 won't make right angle triangle

@nidaparveen1557 4 года назад

does this series contain all concepts from cat perspective?

@Shivam-xk8lo 4 года назад

No. Fyi : Sir is now on Unacademy, you can get all the concepts from there.

@quica548 2 года назад

14:45

@zindagi_ke_anmol_ratan 4 месяца назад

How can h be 20 ?

@Kitcatt_tv Месяц назад

1/2 absintheta

@aksshhatam 3 года назад

8:59 ...haha...happens !

@gayathrips7428 Год назад

13:00

@suryavoroy3527 Год назад

very tricky question at 12:00 (rewatch again)

@shorttrickking5119 2 года назад

plz do not waste your money in offline coaching center

@arnabsamanta6608 2 года назад

In the last question , the ratio is 7/2. That does not simply imply that a-b would be 7. a-b can be 14, 21, 28.....values followed by b-c being 4, 12, 16 and so nd so forth respectively. so the ratio is always 7/2. plz clarify sir. @Rodha

@sayandeysarkar3354 Год назад

For people asking in 2nd last question R-18,r-8,how right angle triangle assumed,yes it is not mentioned ,but we can apply logic R/r=2.25 >=2 condition for a right angle triangle,

@aditibhardwaj1310 Год назад

But I guess that the condition R/r >= 2 is true for all types of triangles except the equilateral one, and not only for right-angled. Do correct me if I'm wrong.

@AsfandReza 15 дней назад

sir i respect your teaching but in last question the answer is wrong and the answer is this [A:B:C=12:19:21 ]

@AniketPatil-bh9gb 10 месяцев назад

in last Question, triplet answer should have one of the sides as 12 which is mentioned in the question, answer is 8,15, 17 which is incorrect @Rodha

@rishitareena385 4 года назад

so many addds

@aabhashadarsh666 4 года назад

You can't assign a different value to a when you've already mentioned that a=12. Sorry but your last question is incorrect!

@gamingerrb5430 4 года назад

That's called scaling.he find the value of c corresponding to a=12 only..That's correct

@___DannyBoyka 4 года назад

The value of A is still 12....The ratio of the triplets when increased by same constant value will remain the same.... For ex: 3:4:5 is a triple, so is (17*3:17*4:17*5 )