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**12.3 The Pythagorean Theorem**

Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to a real-world problems. Standard Addressed: N: Solve quadratic equations.

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Ex. 1

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Ex. 2

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**Ex. 3 Find the hypotenuse of a right triangle whose legs are 36 and 48 units long.**

C2 = C2 = C2 = 3600 C = 60

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Ex. 4

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Ex. 5 Find the height of a pyramid whose square base measures 36 meters on each side and whose slant height is 60 meters. AC = (½) (36) 18 602 = BC 602 – 182 = BC2 3276 = BC2 57.24 meters

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