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Calculate the side lengths a and b to two decimal places.

Calculate the side lengths a and b to two decimal places.-example-1
User JPWilson
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2 Answers

3 votes

Answer:

a=10.92

b=14.52

Explanation:

A P E X

User Neillb
by
8.7k points
4 votes

Answer:


a=10.92 units


b=14.51 units

Explanation:

We are given that c=6 units


\angle A=43^(\circ)


\angle B=115^(\circ)

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees


\angle A+\angle B+\angle C=180

Substitute the values then we get


43+115+\angle C=180


158+\angle C=180


\angle C=180-158=22^(\circ)

sine law:
(a)/(sin A)=(b)/(sin B)=(c)/(sin C)


(a)/(sin 43^(\circ))=(6)/(sin 22^(\circ))


a=(6)/(sin 22^(\circ))* sin 43^(\circ)


a=10.92 units


(b)/(sin 115^(\circ))=(6)/(sin 22^(\circ))


b=(6)/(sin 22^(\circ))* sin 115^(\circ)=14.51


b=14.51 units

User Kirill Fedyanin
by
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