# A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 10, respectively. The angle between A and C is (pi)/8 and the angle between B and C is  (3pi)/8. What is the area of the triangle?

Feb 17, 2018

Given measurements are not in order.

#### Explanation:

$\hat{A} = \frac{3 \pi}{8} , \hat{B} = \frac{\pi}{8} , a = 4 , b = 10$

As can be seen, $\hat{A} > \hat{B}$ but $s i \mathrm{de}$ $a < s i \mathrm{de}$ $b$,

which is contradictory to the postulate of “Greater angle has

greater side opposite to it “.

Hence the given measurements are not in order.