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The Pythagorean Theorem Exercises

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?

Example 5

What does the Pythagorean Theorem say for a triangle with a hypotenuse of length a and legs of lengths b and c?