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messersmith_power_intermediate_algebra_1e_ch4_7_10

Write an equation, and solve. 35) The hypotenuse of a right triangle is 2 in. longer than the longer leg. The shorter leg measures 2 in. less than the longer leg. Find the measure of the longer leg of the triangle. 36) The longer leg of a right triangle is 7 cm more than the shorter leg. The length of the hypotenuse is 3 cm more than twice the length of the shorter leg. Find the length of the hypotenuse. 37) A 13-ft ladder is leaning against a wall. The distance from the top of the ladder to the bottom of the wall is 7 ft more than the distance from the bottom of the ladder to the wall. Find the distance from the bottom of the ladder to the wall. Ladder x Wall 38) A wire is attached to the top of a pole. The pole is 2 ft shorter than the wire, and the distance from the wire on the ground to the bottom of the pole is 9 ft less than the length of the wire. Find the length of the wire and the height of the pole. Wire Pole 39) From a bike shop, Rana pedals due north while Yasmeen rides due west. When Yasmeen is 4 mi from the shop, the distance between her and Rana is two miles more than Rana’s distance from the bike shop. Find the distance between Rana and Yasmeen. Rana Yasmeen 22) Find three consecutive odd integers such that the product of the smaller two is 15 more than four times the sum of the three integers. Objective 3: Solve Problems Using the Pythagorean Theorem 23) In your own words, explain the Pythagorean theorem. 24) Can the Pythagorean theorem be used to fi nd a in this triangle? Why or why not? a 11 12 Use the Pythagorean theorem to fi nd the length of the missing side. 25) 15 12 26) 12 13 27) 17 8 28) 16 12 29) 8 6 30) 5 4 Find the lengths of the sides of each right triangle. 31) 2x 1 x 7 x 32) 33) x 1 x 1 x x 3 x 12 x 2 34) 3x 1 3x 1 2x 410 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith


messersmith_power_intermediate_algebra_1e_ch4_7_10
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