A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 7, respectively. The angle between A and C is (pi)/12 and the angle between B and C is (2pi)/3. What is the area of the triangle?

1 Answer
sankarankalyanam
Apr 1, 2018

Given measurements do not obey the Greater Angle and Greater Side theorem. Hence triangle cannot be formed.

Explanation:

a = 8, b = 7, hatB = pi/12, hat A = (2pi)/3

To find area of the triangle.

![https://study.com/academy/lesson/http://inequalities-in-one-triangle.html](https://useruploads.socratic.org/Q3xXoD87R6mI6CFec7YU_greater%20side.jpg)

color(brown)("As per the Greater Angle and Greater Side theorem"

color(crimson)(a > b " since" hat A > hat B

color(red)(a < b " though " hat A > hat B

Hence cannot form a triangle with the given measurements.

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