Question

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.)

Answer 1

<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