Question

Given: AAS triangle, A=23°, B=48°, a=14cm.

Find C, b, and c

109; 26.63cm; 33.88cm
109; 21.48cm; 40.11cm
19; 26.63cm; 33.88cm
19; 21.48cm; 40.11cm

Answer 1

The sum of the angles of a triangle is equal to 180 degrees.

We have then:

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From here, we clear C:

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Substituting values:

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We now look for the lontigudes of the sides.

To do this, using the sines law we have:

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From here, we clear c:

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We repeat the same procedure for b:

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Answer:

The values of C, b and c are given by:

109; 26.63cm; 33.88cm