Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

C2 trigonometry

The question is:

'Find the two possible triangles ABC which satisfy b=5, a=3, A=35' '

I found the first triangle, where B=72.9', C=72.1' and c=4.98. How do I find the other one?

The angle B can have two values, because sin(B) = sin(180-B)
Let Beta = 180 - B.
Your second triangle has an angle Beta, say, rather than B, and still have the same characteristics as the triangle with an angle = B.

OP

Original post by steve10

The angle B can have two values, because sin(B) = sin(180-B)
Let Beta = 180 - B.
Your second triangle has an angle Beta, say, rather than B, and still have the same characteristics as the triangle with an angle = B.

Ohhh, I see. Thank you. :smile:

:smile:

Couldn't you use the cosine rule? Or is there not enough data ? :P

Or even the sine rule?

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