Converse to the Pythagorean Theorem

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7.2 Converse of Pythagorean Theorem

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Converse to the Pythagorean Theorem Ch 7.2

Converse to the Pythagorean Theorem If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the 2 other sides, then the triangle is a right triangle.

Verifying that something is or is not a right triangle. 1. First we determine which side would be the hypotenuse. 2. Second we plug the values into the Pythagorean theorem. Yes, we have a right triangle!

Is it a right triangle?

Theorem 7.3

Theorem 7.4

Classify the triangle as right, obtuse or acute. 15, 20, 25 9, 10, 15 right 625 = 625 SO ACUTE 181 < 225 8, 9, 10 145 > 100