A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 7, respectively. The angle between A and C is #(pi)/12# and the angle between B and C is # (5pi)/6#. What is the area of the triangle?

1 Answer
Jun 24, 2018

#color(crimson)("Since b > a but "hat B < hat A, " triangle cannot exist with the given measurements"#

Explanation:

#hat A = (5pi)/6, hat B = pi/12, a = 5, b = 7#

#color(purple)("THEOREM : If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side."#

#color(crimson)("Since b > a but "hat B < hat A, " triangle cannot exist with the given measurements"#