Question

What are the approximate values of the missing side lengths in the triangle below?

Answer 1

Answer:

Side AB is approximately 89.067m, while side BC is approximately 136.459m.

Step-by-step explanation:

The first step is to find the value of angle A. 180-60-40=80°. Now, you can use  the Law of Sines to find that $\frac{\sin(60^\circ)}{120}=\frac{\sin(80^\circ)}{x}=\frac{\sin(40^\circ)}{y}$. Cross multiplying, you find that $x=\frac{\sin(80^\circ)\cdot120}{\sin(60^\circ)}\approx 136.459$. Similarly, $y=\frac{\sin(40^\circ)\cdot120}{\sin(60^\circ)}\approx 89.067$. PM me if you have any questions!