(22 + 4.9 Pythaqorean Theorem Standard: MG 3.3 Objective: Find the missing side of a right triangle.
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Start Square and Square Roots 92=81 Square it — Root it — Result UST = 9
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Simplify each root below and identify as a positive root or a negative root. 1) = 7 positive root 2) — N/äS __5 negative 5) 36 root = 12 Positive root —4 positive root —6 positive root
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9.3 PYTHAGOREAN THEOREM Applies to Right Triangles Only! hypotenuse leg a (leg)2 + (leg)2 = (hypotenuse)2
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Find the missing side of the right triangle in the 1 centimeter grid below. 012345678 910111213 36 + 64 = 100 = 100 = x x x x
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Find the missing side of the right triangle in the 1 centimeter grid below. €1 (111016 12 52 + 122 25 + 144 = 169 = 169 = 13= x x x x
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Find the missing side of the right triangle in the 1 centimeter grid below. 012345678 910111213 16 + 49 = x 65 = x 65 = x 65 8.1 cm
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Find the length of the diagonal for a rectangle that measures 3 inches by 4 inches. 3 in. 4 in. 32 + 42 9+16= 25 = x x x = 5 inches
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C. 1) Find the Hypotenuse To find the 2) a = 3, b = 4, find hypotenuse, solve for b = 5 in. (32 + C. a = 12 in.
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Example: Find a leq You will not always solve for the hypotenuse (c). Sometimes you will have to find a leg (a or b). Example:
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Example: Find a leq To find a leg, solve 2) b = 30, C for a or b. l) 13 12 b (12 + = 34
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Practice: Pythaqorean Theorem Due to road consttuction, a stretch of highway has to be closed. The detour tuns Il miles west and '13 miles south as shown. About 1103'/ many miles of highway are closed? 11 miles 13 miles
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