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Converse
of the pythagorean therom

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“if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle”
User Danielx
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The pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of the legs of the triangle is equal to the square of the hypotenuse or a² + b² = c².

The converse of the pythagorean theorem on the other hand states that if the sum of the squares of 2 sides of a triangle is equal to the square of the third side or a² + b² = c², then the triangle is a right triangle.

The converse switches the order of the if and then statements.

On the whiteboard, I have also written it.

Image provided.

Converse of the pythagorean therom-example-1
User Nakx
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