# A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 5, respectively. The angle between A and C is (3pi)/8 and the angle between B and C is  (5pi)/12. What is the area of the triangle?

Feb 17, 2018

Data inconsistency. Can’t form a triangle

#### Explanation:

Given : $a = 7 , b = 5 , \hat{^} B = \frac{3 \pi}{8} , \hat{A} = \frac{5 \pi}{12}$

$\frac{a}{\sin} A = \frac{7}{\sin} \left(\frac{5 \pi}{12}\right) = 7.2469$

$\frac{b}{\sin} B = \frac{5}{\sin} \left(\frac{3 \pi}{8}\right) = 5.412$

Data inconsistency. Can’t form a triangle