SOLUTION: Find all solutions to the following triangle. (Round your answers to one decimal place. If either triangle is not possible, enter NONE in each corresponding answer blank.) C = 78.

Question 1126587: Find all solutions to the following triangle. (Round your answers to one decimal place. If either triangle is not possible, enter NONE in each corresponding answer blank.)
C = 78.4�, c = 52.3 km, b = 92.6 km
First triangle (assume B ≤ 90�):
A= �
B= �
a= km
Second triangle (assume B' > 90�):
A'= �
B'= �
a'= km

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

With the given measurements being angle C and sides b and c, make CB the horizontal base of the triangle, with C at the left; side b is then slanting up to the right from C.

Then the question is whether side c is long enough to reach the base CB.

The altitude of the triangle is b*sin(C):

Side c is far too short to reach the base; there are no triangles for this set of measurements.
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