Question

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

Answer 1

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.