Question

How many distinct triangles can be formed for which mzA

= 75°, a = 2, and b = 3?
O 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°

Answer 1

Answer: A no triangles can be formed

Explanation:

Answer 2

We are given

m∠A = 75 deg

a = 2

b = 3

Apply the Law of Sines.

sin(B)/b = sin(A)/a

sin(B)/3 = sin(75)/2

sin(B) = (3*sin(75))/2 = 1.45

The value of the sin function cannot exceed 1.

This means that the triangle cannot exist.

Answer: No distinct triangles