Question

What is the length of BC¯¯¯¯¯ ?

Answer 1

Hello!

The length of side BC can be found by using the Law of Sines. This law states,

a / sin A = b / sin B = c / sin C.

Given:

Angle A = 51.2 degrees

Angle B = 60.3 degrees

Side AC (or B) = 21 cm

Side BC (or A) = ? cm

Let's plug in these values into the formula to find the missing side length.

a / sin (51.2) = 21 / sin (60.3)

a / sin (51.2) = 24.1759... (multiply both sides by sin(51.2)

a = 24.1759 · sin (51.2)

a = 18.841...

18.841 can be rounded to 19.

Therefore, the length of side BC is equal to 19 centimeters.