Question

Find the number of distinct triangles with measurements of A=31 Degrees, a = 10, and b = 40

A. 0
B. 1
C. 2
D. cannot be determined

Answer 1

This is relating to the Law of Sines

Answer 2

Try constructing the triangle and see what you get

Answer 3

ok

Answer 4

You can also use the cosine rule to find the answer;
\[10^{2}=c ^{2}+40^{2}-2\times40c \times \cos 31\]so how many c can you get from this equation?

Answer 5

In both cases you should get 2 as the answer.

Answer 6

Ohhh ok, I think I was doing something wrong