How do you determine the number of possible triangles and find the measure of the three angles given a=6, c=10, mangleA=45?

1 Answer
Mar 26, 2018

Since sin theta can not have a value more than 1, (sin 90 = 1), no triangle is possible with the given measurements.

Explanation:

Given : a = 6, c = 10, hat A = 45^@

Applying the law of sines,

sin A / a = sin B / b = sin C / c

sin C = (c * sin A) / a = (10 ^ sin 45) / 6 = 1.1785#

Since sin theta can not have a value more than 1, (sin 90 = 1), no triangle is possible with the given measurements.