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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.
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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
0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 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. x 6 8
0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 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. 12 5 x
0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 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. x 4 7
Find the length of the diagonal for a rectangle that measures 3 inches by 4 inches. x 3 in. 4 in.
To find the hypotenuse, solve for c. 1) 2) a = 3, b = 4, find c. Find the Hypotenuse
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: a2 + b2 = c2 62 + b2 = 102 b2 = 102 - 62 √b2 = √(102 - 62) b = 8
To find a leg, solve for a or b. 1) 2) b = 30, c = 34 Example: Find a leg 13 12 b