How to Find the Diagonal Length of a Rectangle 

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@Andrew Jalen Yea, I have been using InstaFlixxer for since december myself :D

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Thanks for watching and I hope it helped! Good luck continuing the online learning; let me know if you ever have any lesson requests!

Bruh same

Exactly

Same

same

Thanks for watching and you're welcome! I am glad it helped!

Thanks for watching and that's right, it's a handy application of that wonderful theorem! By the way, if you're interested in seeing a proof of the theorem, I recently ate bugs while presenting a proof in this video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-rw-OIl0RHpg.html

So glad to hear it, thanks for watching and let me know if you ever have any lesson requests!

Glad to help!

You're very welcome, thanks so much for watching and good luck on the exam!

Same

So glad it helped! Thanks for watching!

Yeah! Thanks so much just found out that I had a question in my workbook about this and now I know this! :)

Thank you!

@@WrathofMath You're welcome!

Thanks for watching! Glad it's helpful!

You're very welcome, I am glad it helped!

You're welcome and thanks for watching, Joshua!

You're very welcome, it is my pleasure! Thanks for watching!

Thanks for watching and good question! I answer your question in this new video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lP4kTCDB58E.html around the 9:38 mark

Glad to hear it!

Thank you for your comment and for watching!

I am glad it helped! Thanks for watching!

You’re welcome!

Thanks for watching! I'm glad it helped!

Thanks 😘

Thanks for the like

Awesome, thanks for watching and good luck!

My pleasure - thanks for watching!

You're very welcome, I'm glad it helped!

Happy to help!

Glad it helped, thanks for watching! If you're studying geometry, you may be in the mood to vibe to the circle song: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-zj6YKOCrS74.html

Glad to help!

Glad it helped! Keep working hard and I hope you'll do well in your courses! Let me know if you have any questions!

You're very welcome, I am glad it helped! Thanks for watching!

Glad to hear that! Thanks for watching!

You're welcome! Thanks for watching!

Glad to help!

You're welcome!

I'm glad it helped and thanks for watching! The song at the end is a song I wrote called "To the Moon and Back". I have not published a finished version, but you can hear some more of my music here if you're interested: ru-vid.comvideos

Glad to hear it, thanks for watching!

No problem, thanks for watching!

Thanks for watching! I'm sorry, I'd like to help but I do not understand the question!

@@WrathofMath Hey there bud! I can speak Hindi. I'll be your translator. He means "if we are given the diagonal and breadth then how do we find the length?"

I'll get to the first part soon, as far as how much time it would take to cross diagonally I am not sure what you mean. Give me more specifics about that and maybe I can help.

I'm not sure what you mean when you say the vertices are opposite. Based on my understanding of your problem, we have a rectangle with a quarter circle of radius five on its left side, and this touches a quarter circle of radius five on the right side of the rectangle. The quarter circles touch at the midpoint of the bottom side of the rectangle, and this gives us a base length of 10 and rectangle height of 5, since it is a radius of the quarter circle, Thus, A = 50. But I very well may have misunderstood the problem.

@@WrathofMath The two centre of the quarter circles are opposite corners of the rectangle and the circles touch in the centre .... Is there a way j could send you a picture?

You're very welcome! Thanks for watching!

No problem, thanks for watching!

@@WrathofMath love from India buddy 😍

Thanks for watching!

Glad to help!

You're very welcome, thanks for watching!

Sir because of lockdown I don't understand maths but now my favourite subject is maths 😁 and it's possible because of u 😌 thank u so much sir 😊

Glad to help!

Thanks for watching! I am not sure what your question is, could you clarify? What quantities are you talking about?

Most welcome 😊

Do i just multiply it by 2?

Welcomification!

You're very welcome, thanks for watching!

Thank you!

Glad to hear it! Thanks for watching and let me know if you have any video requests!

@@WrathofMath OK

Glad to help, thanks for watching!

By l and b do you mean the sides of the rectangle? There is no way to find a unique solution to that if you only know the diagonal. If we call the diagonal d, and the sides a and b, then for any positive number b, a = sqrt(d^2 - b^2) would work. So there are infinitely many solutions. Does that make sense?

@@WrathofMath That's what I wanted to know. Thank you for your help

Thanks for watching!

@@WrathofMath you're welcome keep sharing!

Thanks for watching and 16+9 is coming from the Pythagorean theorem. Recall this theorem states that, in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse (where the hypotenuse is the longest side and the legs are the sides that intersect at a right angle). When we draw the diagonal of a rectangle, we split it into two right triangles, that both have the diagonal as their hypotenuse. Thus, we can use the Pythagorean theorem to find the length of the diagonal from the sides of the rectangle - which are the legs of our right triangle. I think typing it out without pictures is a little confusing, but there's not much more I can do than type! In our case, the legs of our right triangle have lengths 3 and 4, thus we square them 3^2 + 4^2, to get 9 + 16, which equals 25 - the square of our hypotenuse (which is the diagonal of the rectangle). Since the square of our diagonal has a length of 25, the diagonal itself must be sqrt(25) = 5. I hope that helps some, but if not I'd recommend watching some other explanations or looking up an explanation on another site that you can read through with pictures - since pictures are vital to these explanations! Additionally, if you want to see a proof of the Pythagorean theorem, I recommend this proof I did while eating insects: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-rw-OIl0RHpg.html

I'm not sure what you mean, could you rephrase?

Thanks for watching! I’m glad you were able to figure it out, once we learn certain terms in mathematics it can make communicating about it much easier! Let me know if you ever have any video requests!

Thanks for watching and for the request, hope it helps! ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-y1mL1oJPESw.html

Hope this helped, thanks for watching!

Thank you for watching and you're very welcome!

Please help me please 🥺

Thanks for watching, and if you understand this video then you understand how to find the diagonal length of a square because squares are just special rectangles! Of course, it depends a bit on what information you already have. For example, here is a lesson on how to find the diagonal length from area of the square: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-y1mL1oJPESw.html

@@WrathofMath thanks 😊

What is wrong in the video?

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@@WrathofMath His grammar is wrong. LMAO.

@@munmunpal5911 wtf?

Don't drop out! It just takes some work to understand, and my explanation not being sufficient doesn't mean you're slow! Is there any lingering question I can help clear up to aid your understanding?

Where do u get 16? And 9? I'm alil confused myself

@@absityvelasco9507 2:08 at the bottom the equation is 4^2+3^2=c^2 4^2 means 4x4. 3^3 means 3x3. 4x4 is 16 and 3x3 is 9. Hope I helped.

Thanks for watching and can I help clear that up for you? If you followed until that point, then we can just pick up at 25 = c^2. So, we know that c squared is 25, but we want to know c, not c^2, since c is the length of the diagonal. Since we know c squared is 25, to find c we ask "what number, when squared, equals 25?". The answer is 5, because 5^2 = 25. It is also true that (-5)^2 = 25, but we're interested in the positive solution (positive 5) because we assume our lengths have to be non-negative. Thus, since c is the number that, when squared, equals 25, we know c must equal 5.

@@WrathofMath that helps a lot. I am building a 12x16 storage shed and using these calculations my diagonal length is 20 feet which squares the corners. Thanks again.