Solve the triangle B=71 degrees, b=15, c=8

Question

Mathematics

Hope Morrison

16 September, 20:04

Solve the triangle B=71 degrees, b=15, c=8

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Answers (1)

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Amber Forbes · Answer 1

SinC/8=sin71/15

sinC=8sin71/15

C=arcsin (8sin71/15) ≈30.28°

A=180-71-arcsin (8sin71/15) ≈78.72

a/sin78.72=15/sin71

a=15sin78.72/sin71≈15.56

So the angles and their opposite side lengths are:

A=78.72°, B=71, C=30.28°

a≈15.56, b=15, c=8