More Math Problems

Question

Solve each triangle using the law of sines and the law of cosines

a = 32.9m, b = 42.4m, c = 20.4m

Answer 1

Since we are given 3 sides, we will first use the law of cosines to find one of the angles:

c^2 = a^2 + b^2 - 2*a*b*cos C

From this equation we can find angle C.

Then we can use the law of sines to find either angle A or angle B, e.g.

sin C/C = sin B/b

Then we find the remaining angle using the fact that the sum of the angles of the triangle are 180.

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