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Explain Pythagoras theorum

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Explain Pythagoras theorum

Posted by Murugan G 6 years ago

CBSE > Class 07 > Mathematics

1 answers

Gaurav Seth 6 years 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

1Thank You

ANSWER

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CBSE > Class 07 > Mathematics