Lesson 11 4 Pythagorean Theorem The Pythagorean theorem

Lesson 11. 4 Pythagorean Theorem • The Pythagorean theorem is: a 2 + b 2 = c 2 • Where a and b are the smaller sides, c is the longest side • ‘c’ is also referred to as the hypotenuse

Find the length of the hypotenuse of a right triangle if and Pythagorean Theorem and Simplify. Take the square root of each side. Use the positive value. Answer: The length of the hypotenuse is 30 units.

Find the length of the missing side. In the triangle, and units. Pythagorean Theorem and Evaluate squares. Subtract 81 from each side. Use a calculator to evaluate Use the positive value. Answer: To the nearest hundredth, the length of the leg is 13. 23 units. .

a. Find the length of the hypotenuse of a right triangle if and b. Find the length of the missing side.

Determine whether the side measures of 7, 12, 15 form a right triangle. Since the measure of the longest side is 15, let , and Then determine whether Pythagorean Theorem and Multiply. Add. Answer: Since right triangle. , the triangle is not a

Determine whether the side measures of 27, 36, 45 form a right triangle. Since the measure of the longest side is 45, let and Then determine whether Pythagorean Theorem and Multiply. Add. Answer: Since right triangle. the triangle is a

Determine whether the following side measures form right triangles. a. 33, 44, 55 b. 12, 22, 40