How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3? No triangles can be formed. One triangle can be formed where angle B is about 15°. One triangle can be formed where angle B is about 40°. Two triangles can be formed where angle B is 40° or 140°.

QUESTION POSTED AT 01/06/2020 - 04:33 PM

Answered by admin AT 01/06/2020 - 04:33 PM

We can use the Sine Law:a / sin A = b / sin B2 / sin 75° = 3 / sin B2 / 0.966 = 3 / sin B  ( after that we will cross multiply )
2 sin B = 3 · 0.9662 sin B = 2.898sin B = 2.898 : 2sin B = 1.499 > 1  ( it is not possible )Answer:  A ) No triangles can be formed.


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