Question

Angle A=11x-4, Angle B = 4x-11, and Angle C=63-4x. List the sides of triangle ABC in order from shortest to longest.

A. AB, AC, BC
B. AC, AB, BC
C. BC, AB, AC
D. AB, BC, AC

Answer 1

1. The sum of of the interior angles of a triangle is 180°.

2. Keeping this on mind, you have:

A+B+C=180

A=11x-4
B = 4x-11
C=63-4x

3. When you substitute these values, you obtain:

A+B+C=180
11x-4+4x-11+63-4x=180
11x+48=180
11x=180-48
11x=132
x=132/11
x=12

3. Therefore:

A=11(12)-4
A=128°

B = 4(12)-11
B=37°

C=63-4(12)
C=15°

5. The answer is:

A. AB, AC, BC