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12.3 The Pythagorean Theorem

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.

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12.3 The Pythagorean Theorem

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  1. 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.

  2. Ex. 1

  3. Ex. 2

  4. 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

  5. Ex. 4

  6. 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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