I really need help just understanding this. I don't know what it's asking for.
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Prove the Converse of the Pythagorean Theorem. The Converse of the Pythagorean Theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse, the triangle is a right triangle. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
The Converse of the Pythagorean Theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse, the triangle is a right angle like what?
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Screw it. I'm gonna try to draw what it's asking out.
A convers reverses the if and then.
Normal: If a, then b.
Converse: If b, then a.
So the Pythagorean theorem says IF the triangle is right THEN the sum of the square of the legs = the square of the hypotenuse.
This becomes reversed to be:
IF the sum of the square of the legs = the square of the hypotenuse THEN the triangle is right.
So what you are proving is that relationship.
Oh, and drawing it is not a bad idea. You can get some ideas from the drawing.