Question

AB = 20 cm, m∠A = 30°, and m∠C = 45°. Express the number of centimeters in the length of BC in simplest radical form.

Answer 1

Explanation:

x/Sin30 = 20/sin45 multiply both sides by sin30

x = 20*sin30 / sin45

sin30 = 1/2

sin45 = 0.7071

x = 20*1/2 / 0.7071

x = 10 / 0.7071

x = 10 * sqrt(2)