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Explain Pythagoras theorum

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Explain Pythagoras theorum
  • 1 answers

Gaurav Seth 4 years, 4 months ago

Pythagoras Theorem. (B audhayan Theorem)

Theorem 8.3: - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Given: -  is a right angle of 

To Prove:- 

Construction:- is drawn

Proof:- In 

Or, AB2 = AC X AD ---------------------(i)

Similarly 

Or, BC2 = AC X CD ---------------------(ii)

Adding (i) and (ii) we get

AB2 + BC2 = AC X AD + AC X CD

= AC X (AD + CD)

= AC X AC

= AC2

Or, AC2 = AB2 + BC2

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