Billy J.

# How do I know if my SSA triangle has more than one set of answers?

Solve the triangle using the law of sines:
a = 75
b = 100
c = ?

<A = 30°
<B = ?
<C =?

My work:
Sin B / 100 = sin 30 / 75
Sin B = (100 * sin(30°))/75
Sin B = .6667
Sin-1 (.6667) = B = 41.8°
therefore 180° - 30° - 41.8° = <C = 108.2°

c / Sin 108.2 = 100 / Sin 41.8
c = (Sin (108.2) * 100) / sin 41.8)
c = 142.5

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Now I know there is something that you're supposed to do to find a new degrees answer for <C such as <C = 180° - 41.8° = 138.2° as the new angle C and then calculate a new range of answers but I don't really understand it and to which SSA triangles it applies to

## 2 Answers By Expert Tutors

By: Masters of Education Graduate with Mathematics Expertise

Billy J.

Thank you!
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04/03/16 Understanding math via the real world.

Billy J.

Thank you very much
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04/03/16

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