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°.

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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aldksffds aldksffds · Answer 2 · 2021-05-18T17:17:53+02:00

aldksffds aldksffds

18-05-2021

Answer:

Answer is letter A

Step-by-step explanation:

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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°.

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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°.