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?

1 Answer
sankarankalyanam
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 = pi/24, b = 5, hat B = (5pi) / 24

![https://study.com/academy/lesson/http://inequalities-in-one-triangle.html](https://useruploads.socratic.org/e0AFJl9pS4O3klfg8unB_greater%20angle%20greater%20side.jpg)

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."

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