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How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?

User Tanekqua
by
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2 Answers

2 votes

Answer:

no triangles can be formed

Explanation:

User Migloo
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7.4k points
3 votes
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
User Daniil Shevelev
by
7.9k points