# A triangle has sides A, B, and C. Sides A and B have lengths of 10 and 5, respectively. The angle between A and C is (5pi)/24 and the angle between B and C is  (pi)/24. What is the area of the triangle?

Apr 7, 2018

color(brown)("But in the given sum, " a > b " & " hat A < hat B

color(blue)("Hence such a triangle cannot exist."

#### Explanation:

$a = 10 , \hat{A} = \frac{\pi}{24} , b = 5 , \hat{B} = \frac{5 \pi}{24}$

As per the Greater angle and Greater side theorem,

color(indigo)(a > b " if and only if " hat A > hat B

color(brown)("But in the given sum, " a > b " & " hat A < hat B

color(blue)("Hence such a triangle cannot exist."