Geometry and Solid Figures: The Pythagorean Theorem

-  You can use the Pythagorean Theorem to find a missing side in a right triangle.
-  In any right triangle:


Examples:
Example 1.  Right triangle ABC (not shown) has two legs of lengths 3 cm (AB) and 4 cm (AC). What is the length of the hypotenuse of the triangle (side BC)?
Solution: Use Pythagorean Theorem: , , and
Then:
The length of the hypotenuse is 5 cm.

Example 2.

Find the hypotenuse of this triangle.
Solution: Use Pythagorean Theorem:
Then:


Example 3.

Find the length of the missing side in this triangle.
Solution: Use Pythagorean Theorem:
Then: