# 4.9 Pythagorean Theorem Standard: MG 3.3 Objective: Find the missing side of a right triangle.

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4.9 Pythagorean Theorem Standard: MG 3.3 Objective: Find the missing side of a right triangle.

StartSquare itRoot itResult Square and Square Roots

Simplify each root below and identify as a positive root or a negative root.

Applies to Right Triangles Only! leg hypotenuse a b c 9.3 PYTHAGOREAN THEOREM

Find the missing side of the right triangle in the 1 centimeter grid below. 8 6 0 1 2 3 4 5 6 7 x

Find the missing side of the right triangle in the 1 centimeter grid below. 12 5 x 0 1 2 3 4 5 6 7

Find the missing side of the right triangle in the 1 centimeter grid below. 7 4 0 1 2 3 4 5 6 7 x

Find the length of the diagonal for a rectangle that measures 3 inches by 4 inches. 3 in. 4 in. x

Find the Hypotenuse To find the hypotenuse, solve for c.To find the hypotenuse, solve for c. 1) 2) a = 3, b = 4, find c.

Example: Find a leg You will not always solve for the hypotenuse (c). Sometimes you will have to find a leg (a or b). Example:

Example: Find a leg To find a leg, solve for a or b.To find a leg, solve for a or b. 1) 2) b = 30, c = 34 13 12 b

Practice: Pythagorean Theorem

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