Question

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

B = 81°, b = 26, c = 28

Answer 1

@Luigi0210

Answer 2

we can see by trying the law of sines

Answer 3

\[\frac{\sin(C)}{28}=\frac{\sin(81)}{26}\] so
\[\sin(C)=\frac{28\sin(81)}{26}\]

Answer 4

if \(\frac{28\sin(81)}{26}>1\) then there is no triangle because sine is always less than or equal to one

Answer 5

http://www.wolframalpha.com/input/?i=28sin%2881%29%2F26
as you can see, it is too large so no triangle

Answer 6

yeah it's larger than 1 so it's no triangle right!?

Answer 7

@satellite73