Question

What is the length of the side labeled x cm?

A. 18.8 cm
B. 9.4 cm
C. 10.4 cm
D. 12.7 cm

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Answer 1

When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
side x = 9.18484 / 0.97437

side x = 9.4264396482