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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.