Special Right Triangle- FIND the Length of the SIDES (NO CALCULATOR)

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TabletClass Math:
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Math help with special right triangles to include 30, 60, 90 degree right triangles - a key skill for all geometry students. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at tcmathacademy.com/
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27 июл 2024

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Комментарии : 51

@minime1721 2 года назад

3 is the bottom , 4 is the verical leg and 5 is the diagonal. Its the Pithageran therm ( not sure of the spelling) Tradesman's use thisnfor setting up the corners of walls, laying out flooring the old fashionway w/ out laser tools. Not many of the younger tradesman/ journeyman know theses simple tricks these days.

@roberthenry5851 2 года назад

Just like all teachers talk talk talk fell asleep waiting for class to start

@chetSeminole 2 года назад

And they NEVER answer question.

@kalev60 2 года назад

Pythagoras: 3squre+4square=5 square even low level builders/construction workers know this by heart.

@blumobean 2 года назад

Almost 70 years ago, my dad, uncle, and grandfather were building the home I grew up in. The list of areas that my grandfather was expert in was extensive: mechanical, electrical, carpentry, even quoted Shakespeare and knew quite a bit of Latin. I was young (about 6), but he gave me a course on the carpentry square. There is more to a square than most know, it's not just for 90 degrees. I have his old square and many more tools,, they will be my son's soon.. He explained 3,4,5 to me, without getting into square roots.

@charlenerivkin364 2 года назад

Please explain 3,4,5 sounds interesting 🤔

@stephenholmes5730 2 года назад

Complete the calculation to answer the question

@ibrahim-sj2cr 2 года назад

he did..... 4.330127018922193 going on to infinity isnt a great answer

@chetSeminole 2 года назад

@@ibrahim-sj2cr -WHEN DID HE EVER SAY 4.33012 ...??? Listened twice he never showed how to solve the 5/2^3 to get an answer.

@santhramariappen9405 2 года назад

Why so long winded??

@downburst3236 2 года назад

How to derive the formula: Mirror the triangle on the vertical line, and you end up with an isosceles triangle, where all corners are 60 degrees, and all sides are same length. So the horizontal line of the original triangle is 1/2 in length, or in other words, hypotenuse is 2 times the horizontal line.. So using Pythagoras theorem to solve for Vertical line, we get square root of (2 squared - 1 squared), that is square root of (4 - 1), which is square root of 3.

@Nikioko 2 года назад

2,5 and 2,5√3, as we have the left half of an equilateral triangle with a = 5.

@BigTJK 2 года назад

3 and 4. The square of the hypotenuse is 25. 3squared =9 and 4squared =16 9+16=25 Pythag

@ibrahim-sj2cr 2 года назад

you could improve your reach and help more people by making some videos short and snappy

@markjakeway2035 2 года назад

An interesting line of approach. I assume that in the US it is taught that with a 30/60/90 the sides are given in that manner - x, 2x root3x ? While over here we teach the sin, cos tan of 0, 30, 45, 60,and 90 degrees and go on from there. Another puzzling thing is we write the constant first, so we would write root(3)x rather than like here - xroot(3)?

@markjakeway2035 2 года назад

@@centexan Yes but not every right angled triangle with an hypotenuse of 5 has other sides 3 and 4. In this case the angle of 30 degrees means the other sides are not 3 and 4.

@robertakerman3570 2 года назад

@@markjakeway2035 I instantly went to 5sq=25. so, 3 4 5 seemed OK. My proof was 3> 9, 4> 16. 9+16=

@jhgoh5105 2 года назад

@@robertakerman3570 Please watch and read carefully. The other 2 angles are 30deg and 60deg. For a right-angle with sides equal to 3, 4 & 5 ratio, the 2 side angles do not equal to 30deg and 60deg. Let me illustrate below. Take an equilateral triangle of each side of 5 units length. All the internal angles are 60deg. Drop a perpendicular from any point to the opposite base. This perpendicular will bisect the triangle, the angle and the opposite side exactly in half. Now you have 2 mirror image right-angle triangles with hypotenuse equal to 5 unit length, the internal angles is equal to 30deg and the opposite side equal to 5/2 unit length. Now apply Pythagorean theorem to any of the right-angle triangle with 2 known lengths of 5 and 5/2 unit length. The square length of the perpendicular = (5^2 - 5/2^2) = (25 - 25/4) = {(100-25)/4} = 75/4 The length of the perpendicular = sq root 75/4 = sq root {(25 x 3)/4} = 5/2 sq root 3 or 2.5 sq root 3

@robertakerman3570 2 года назад

@@jhgoh5105 I love it. Do U play 3 card Monty?

@kennethwright870 Год назад

2.5, 2.5sqrt3, 5

@thomasstambaugh5181 2 года назад

Heh -- the 3-4-5 triangle is a staple of exam questions.

@pgjbsn Год назад

The short side is 3. Not 2.5. Please explain

@joevip76 2 года назад

My problem is, I'll forget this tomorrow.lol

@billys6369 2 года назад

if it is a right triangle and the hypotenuse is 5 the other two sides have to be 3 and 4.

@viablerenewable1638 2 года назад

My short cut is remembering the 5/4/3 right angle triangle.

@Nikioko 2 года назад

Wrong. We have half an equilateral triangle.

@accountingfinancemjr 2 года назад

I didn't use math, just some common snese and repetitive use; if the hyp is 5 and a^2xb^2=c^2, the sides have to be 3 and 4.

@neilmccoy9390 2 года назад

sin30 = 1/2. cos30=1/2 of square root of 3. So sides are 5 times these.

@minime1721 2 года назад

As I recall a 2(squared)+ b 2(squared) = c2(squared) 25= 9+ 16

@woodsie5474 2 года назад

Well, you just happen to be wrong. Downburst is correct. the other sides are 2.5 for the short one, and 4.330127019 for the other one.

@70CadillacMan 2 года назад

3,4,5

@Nikioko 2 года назад

Wrong

@gusdogbrownlab435 2 года назад

Isn't it a 3-4-5 right angled triangle? ........solved it 2 seconds. Pythagoras 5 squared is 25, 3 squared is 9 and 4 squared is 16. 9+16=25

@jhgoh5105 2 года назад

Wrong. The lengths of each side is 5, 2.5 and 2.5 x root 3.

@markjakeway2035 2 года назад

It is not a 3,4,5 triangle. A 3,4,5 triangle has angles approximately 37, 53 and 90 degrees, this one here is 30, 60, 90 degrees.

@Nikioko 2 года назад

Wrong.

@Nikioko 2 года назад

@@jhgoh5105 Correct.

@draken68 2 года назад

you forgot light fab, welding, carpentry or even landscaping.

@johnspisak9729 2 года назад

The answer is 3 and 4.

@davidchiles5331 2 года назад

4 and 3

@markjakeway2035 2 года назад

Afraid not, although a triangle with sides 3, 4, and 5 is a right angled triangle it does not have angles of 30 and 60 degrees as in this problem. From memory they are round about 53 and 37 degrees.

@davidchiles5331 2 года назад

@@markjakeway2035 try this one 4.33" and 2.5" ?

@markjakeway2035 2 года назад

@@davidchiles5331 Yes those are the sides with a 30, 60, 90 degree triangle, just as shown in the video.

@papavary Год назад

Wrong, The answer is 3,4,5. The theory that the shortest side equal half the longest side is wrong.

@gw7289 2 года назад

a lot of what you say isn't about what the subject was on the chalk borad to much uneccesary talk

@garykingery773 2 года назад

All that wasted time and energy and didn't post the answer I solved it in 30 seconds as 54 + 3

@chetSeminole 2 года назад

So what is the answer??? 5/2 is not an answer it's a fraction. How do you do 5/2^3 on a calculator. I'm 54 and still have no clue what you just did.

@chetSeminole 2 года назад

According to AutoCad the bottom would be 2.5 and the perpendicular would be 4.3301. Have no idea how the 4.3301 is figured out. I'm lost, and I took notes.

@chetSeminole 2 года назад

I guess asking questions really isn't an option. Reminds me of H.S. in the 80's.