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

Mathematics

Valentin Holland

2 March, 00:32

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°.

+1

Answers (1)

Know the Answer?

Araceli Pittman · Answer 1

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.

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°.

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°.