Pythagorean Theroem Problems

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Pythagorean Theorem Problems
When people hear "Pythagorean Theorem" they usually think of the formula a² + b² = c².   But this is not always true. It is only true when you are talking about a right triangle and when c represents the length of the longest side (the length of the hypotenuse) and a and b represent the lengths of the legs. If the length of the longest side (the hypotenuse) is represented by a then you have to trade places with a and c in the formula. If the longest side the (hypotenuse) is represented by b then you have to trade places with b and c in the formula.

The best way to think of the Pythagorean Theorem is this:
(length of one leg)² + (length of other leg)² = (length of hypotenuse)²

Type of problem: Find c,  a and b are integers Find b,  a is an integer, c may be a radical Find b,  c is an integer b may be a radical

Problem # 1