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13. Given ΔABC with m∠A = 80°, m∠B = 3x + 5, and m∠C = 5x – 1, list the sides in order from shortest to longest. (Hint: Find x and the measures of the three angles of the triangle first.)

13 Given ΔABC with mA 80 mB 3x 5 and mC 5x 1 list the sides in order from shortest to longest Hint Find x and the measures of the three angles of the triangle f class=

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choixongdong
<A + <B + <C = 180
80 + 3x + 5 + 5x - 1 = 180
8x + 84 = 180
8x = 96
  x = 12

<A = 80
<B = 3x+5 = 3(12) + 5 = 41
<C = 5x - 1 = 5(12) - 1 = 59

the sides in order from shortest to longest: AC, AB, BC

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