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Lesson 3-8 The Pythagorean Theorem

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1 Lesson 3-8 The Pythagorean Theorem
Obj: I can use the Pythagorean Theorem to solve problems HWK: worksheet Vocab: 1) Pythagorean Theorem 2) leg 3) hypotenuse

2 The Pythagorean Theorem
Words Numbers Algebra In any right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse 6² + 8² = 10² = 100 a² + b² = c² hypotenuse 10 c 8 a leg 6 b leg

3 Find the length of each missing side. Round to the nearest hundredth.
Ex 1) c 4 5

4 Ex 2) 15 9 b

5 Ex 3) c 2 2

6 Ex 4) A triangle with coordinates (1, -2) (1, 7) (13, -2)

7 Ex 5) 25 7 b

8 Ex 6) Two airplanes leave the same airport at the same time
Ex 6) Two airplanes leave the same airport at the same time. The first plane flies to a landing strip 350 miles south, while the other plane flies to an airport 725 miles west. How far apart are the two planes after they land?

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