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ra1l [238]
3 years ago
15

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 l

ength of side c?
Mathematics
1 answer:
Contact [7]3 years ago
3 0

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

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