Question

In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?

Answer 1

Answer:

c = 730 cm

Step-by-step explanation:

To solve this question we just need to use the law of sines:

The ratio between a side in the triangle and its opposite angle is always the same.

So we have that:

$a / sin(A) = c / sin(C)$

$714 / sin(78) = c / sin(90)$

sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:

$714 / 0.9781 = c / 1$

$c = 714 / 0.9781 = 730\ cm$