The converse of a theorem reverses the evidence and the conclusion. The Pythagorean Theorem states that in a right triangle with legs of a and b, and hypotenuse c, that a2+b2=c2 a. State the converse of the Pythagorean Theorem. b. Look back at your work from the problem. What can you conclude about a triangle if a2+b2=c2? c. Why is this not a proof of the converse of the Pythagorean Theorem?

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The converse of a theorem reverses the evidence and the conclusion. The Pythagorean Theorem states that in a right triangle with legs of a and b, and hypotenuse c, that a2+b2=c2  a. State the converse of the Pythagorean Theorem.  b. Look back at your work from the problem. What can you conclude about a triangle if a2+b2=c2?   c. Why is this not a proof of the converse of the Pythagorean Theorem?

Yusuf Keller · Accepted Answer

a The Pythagorean Theorem&#039;s opposite states that a triangle is a right triangle if the sum of the squares of the lengths of its two shorter sides equals the square of its longest side.b. When&amp;nbsp;a2+b2=c2, the triangle is a right triangle.c. Problem&amp;nbsp;9−51&amp;nbsp;is not a proof of the converse of the Pythagorean Theorem because it only provided examples where some gave conclusions that the triangle are actite or obtuse.

The converse of a theorem reverses the evidence and the conclusion. The Pythagorean Theorem states that in a right triangle with legs of a and b, and

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