# The Pythagorean Theorem Exercises

### Example 1

Find the value of *x*.

### Example 2

Find the value of *x*.

### Example 3

Find the value of *x*.

### Example 4

A triangle has side lengths of , , and . Is the triangle a right triangle?

### Example 5

Determine whether ∆*XYZ* is a right triangle and/or a Pythagorean triple if its vertices are at the points *X* (1, 1), *Y* (1, 7), and *Z* (9, 1).

### Example 6

If the distance between *A* and *B* is 26, what is the value of *y*?

### Example 7

Find the value of *x*.