Question

tell me Pythagoras theorem
with proof​

Answer 1

Step-by-step explanation:

let the traingle name be ABC

Pythagoras theorem : ac2 = ab2 + bc2

Answer 2

Answer:

Here is your answer (Plz mark me brainliest)

Step-by-step explanation:

Pythagoras theorem was founded by Pythagoras An Greek mathematician.

This is used for calculating Area of right angled triangles.

It's formula is H^2=B^2+A^2 where h stands for hypotenuses, b stands for base and a stands for altitude

Given: A right-angled triangle ABC, right-angled at B.

To Prove- AC2 = AB2 + BC2

Construction: Draw a perpendicular BD meeting AC at D.

Proof:

We know, △ADB ~ △ABC

Therefore, ADAB=ABAC (corresponding sides of similar triangles)

Or, AB2 = AD × AC ……………………………..……..(1)

Also, △BDC ~△ABC

Therefore, CDBC=BCAC (corresponding sides of similar triangles)

Or, BC2= CD × AC ……………………………………..(2)

Adding the equations (1) and (2) we get,

AB2 + BC2 = AD × AC + CD × AC

AB2 + BC2 = AC (AD + CD)

Since, AD + CD = AC

Therefore, AC2 = AB2 + BC2

Hence, the Pythagorean theorem is proved.

Note: Pythagorean theorem is only applicable to Right-Angled triangle.