12.3 The Pythagorean Theorem

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Presentation transcript:

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: 2.8.11.N: Solve quadratic equations.

Ex. 1

Ex. 2

Ex. 3 Find the hypotenuse of a right triangle whose legs are 36 and 48 units long. C2 = 362 + 482 C2 = 1296 + 2304 C2 = 3600 C = 60

Ex. 4

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 = BC2 + 182 602 – 182 = BC2 3276 = BC2 57.24 meters

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