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

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Presentation transcript:

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

Square and Square Roots Start Square it Root it Result

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

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

Find the missing side of the right triangle in the 1 centimeter grid below. 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 x 6 8 0 1 2 3 4 5 6 7 8 9 10 11 12 13

Find the missing side of the right triangle in the 1 centimeter grid below. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 12 5 x 0 1 2 3 4 5 6 7 8 9 10 11 12 13

Find the missing side of the right triangle in the 1 centimeter grid below. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 4 x 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13

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

Find the Hypotenuse 2) a = 3, b = 4, find 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 2) b = 30, c = 34 1) To find a leg, solve for a or b. 1) 2) b = 30, c = 34 13 12 b

Practice: Pythagorean Theorem