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.

Algebra ->  Triangles -> 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.      Log On


   

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(13200) About Me  (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):

92.6%2Asin%2878.4%29+=+90.7

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