Question

I need help finding the missing sides using the law of sines

Answer 1

By the law of sines,

`\frac{\sin\angle A}a=\frac{\sin\angle B}b=\frac{\sin\angle C}c`

The interior angles of any triangle sum to 180 degrees in measure, so we know

`m\angle A=(180-85-40)^\circ=55^\circ`

Then

`\frac{\sin55^\circ}a=(\sin85^\circ)/(26)\implies a\approx21`

and

`\frac{40^\circ}c=(\sin85^\circ)/(26)\implies c\approx17`

Answer 2

Check the picture below.