How do we Derive the Pythagoras Theorem? Part 1 | Don't Memorise

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Pythagoras Theorem, a massive topic, and by far, the most important in Geometry.

In this video, we will learn:
0:00 Introduction
0:16 Understanding Pythagoras Theorem

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#Triangles #PythagorasTheorem #TriangleProperties #neet2024 #infinityLearnNEET #neetsyllabus #neet2025

[Nobody-GM]

Straight to the point without any useless intros or outros and fake smiles and fake positivity. This is my type of videos.

[InfinityLearn_NEET]

Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof.

[deanjelbertaustria]

I learned more from this video than my teacher blabbering in front of the class!

[shreyaschaturvedi]

What an explanation with a melodious voice (whether it's real or artificial). Amazing.

[HpProbookG-cyiv]

Excellent.. After nearly 4o years i got a good teacher..

[shirleyannecavanagh]

I absolutely appreciate your channel. You make sooo much sense. 👍

[ajvarninja]

I prefer trigonometry as it is way quicker:
Sinx = b/c
Cosx = a/c
Now we square them and get
Sin²x = b²/c²
Cos²x = a²/c²
Then we add the equations and get
Sin²x + cos²x = a²+b² / c²
Using the property that sin² + cos² =1,
We get
1 = a² + b² / c²
Now we multiply both sides by c² and get
C² = a² + b²

[mpkdon]

Very nice explanation
I got a smile on my face
When i learned this
Thanks for the wonderful explanation

[a.pal_yt]

Wow! Really helpful, no words can describe how you teach online students, I've confirmed that I'll enroll full coarse right away.
You know, my teacher always shout and yell out being frustrated answering my doubts & query, she constantly says me don't ask anything out of syllabus and extra which haven't taught yet.

[vikramvilla]

Very nice explanation. It can also be proved by similar triangles.
One of the practical proofs i came across at a Science Centre -- what they did was they created right triangle and on each of the sides built a squared box having same depth. And filled the box over hypotenuse completely with a coloured liquid. The system was mounted and could b rotated. The boxes were imterconnected. On rotating the system upside down, they showed that the liquid in the hypotenuse box got completely filled in the other two boxes. Of course, a2 * d + b2 *d = c2 * d. i. e. Equating the volumes. The depth d cancels out n we see the pythagoras theorem is proved.

[realeyes]

Very clever way of proving Pythagoras theorem.

[ADITYA-wqeu]

I always forget stuff like this, which is interesting and nice to know.

[kanchijha]

You didn't explain why did we merge the points ar 1:18.
I mean, did Pythagoras dream of this method to get the answer?
Of course, NO. What compelled him to do so?

[haseenamanji]

Brilliantly explained! ( I'm yr 7) I don't need to know this but now I do thx 😂

[sankhajitdas]

What an explanation... hat's off👍👍👍👍👍👍👍👍

[cotedazur.]

yes condition is c < a+b et > c > 0 if c = a+b no

[atharvchaturvedi]

How did you prove that area of outer square=c²+4×1/2(ab)
Please explain.

[navnoorsingh]

Loved the video...Seamlessly easy explanation!!

[harrymatabal]

Mr anth. Area of smaller square is c^2. Area of 1 triangle is 1/2 ab. There are 4 such triangles. The area of these 4 triangles is 4×1/2 ab = 2ab +c^2 gives the area of the big square which is also (a+b)^2.= a^2+2ab + b^2

[msanchez]

Wow I don’t remember this from when i was young thank you