Engage in geometry practice with this worksheet, which challenges students to apply the Pythagorean Theorem to solve for missing lengths in six different triangles.
To solve for the missing side in a right triangle using the Pythagorean Theorem, remember that the theorem says (a squared) + (b squared) = (c squared), where 'a' and 'b' are the two shorter sides (called legs) and 'c' is the longest side (called the hypotenuse). First, you need to know the lengths of two sides. If you're solving for a leg, like 'a', rearrange the formula to (a squared) = (c squared) - (b squared). Square the lengths of the two sides you know, and subtract them if you're solving for a leg. Finally, find the square root of the result to get the length of the missing side. If solving for 'c,' add the squares of 'a' and 'b' and then find the square root of the result.