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3 votes
How many solutions does a triangle with side lenths a=4 a=112 deegrees and b=9have

2 Answers

4 votes

Answer:

0

Explanation:

apex use the number form!!!

User Wisdom
by
7.4k points
4 votes
It has no solutions.

Using the Law of Sines, we set up:

(sin(A))/(a)=(sin(B))/(b) \\ \\(sin(112))/(4)=(sin(B))/(9)

Cross multiplying, we have:
9 sin 112 = 4 sin B

Divide both sides by 4:

(9sin(112))/(4)=(4sin(B))/(4) \\ \\(9sin(112))/(4)=sin(B) \\ \\2.086 = sin(B)

Since sine runs from -1 to 1, we know that there is no angle with a sine greater than 1. This means there is no solution.
User LonelyWolf
by
8.3k points
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