Question

State whether the given measurements determine zero, one, or two triangles.

A = 35°, a = 6, b = 13

Two

One

Zero

Answer 1

looks like there could be two, but we could check it

Answer 2

\[\frac{\sin(35)}{6}=\frac{\sin(B)}{13}\]
\[\sin(B)=\frac{13\sin(35)}{6}\]
\[B=\sin^{-1}(\frac{13\sin(35)}{6})\] and now a calculator

Answer 3

since \(\frac{13\sin(35)}{6}>1\) there is no way to take the inverse sine of this number
therefore there is no such triangle

Answer 4

will it be zero

Answer 5

yes
there is no such triangle

Answer 6

thanks for explaining the problem

Answer 7

@satellite73 how did you know the height was 6?