state and prove the Pythagoras theorem
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Step-by-step explanation:
Pythagoras theorem states that “ In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”. The sides of the right-angled triangle are called base, perpendicular and hypotenuse . Proof: ... ∠BAD = ∠BAC i.e. ∠A is common in both triangles.
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we get
AB² + BC² = AD × AC + CD × AC
=AC(AD + CD)
=AC×AC
therefor
AB²+BC²=AC²
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