Prove the converse of Pythagoras theorem???
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Step-by-step explanation:
Converse of Pythagorean Theorem states that:
In a triangle, if the square of one side is equal to the sum of the squares of the other two sides then the angle opposite to the first side is a right angle.
Given: A ∆PQR in which PR2 = PQ2 + QR2
To prove: ∠Q = 90°
Construction: Draw a ∆XYZ such that XY = PQ, YZ = QR and ∠Y = 90°
Converse of Pythagorean Theorem
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So, by Pythagora’s theorem we get,
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