Example 1
Find c in the triangle shown below:
Example 2
Find x in the triangle shown below:
Example 3
How long is the hypotenuse of a right triangle with legs that have lengths 8 and 9?
Example 4
A right triangle has a hypotenuse with a length of 13. One leg of the triangle is 3 times longer than the other leg of the triangle. How long are the legs of the triangle?
and 
Example 5
What does the Pythagorean Theorem say for a triangle with a hypotenuse of length a and legs of lengths b and c?