A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 10, respectively. The angle between A and C is #(3pi)/24# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?

1 Answer
sankarankalyanam
Mar 28, 2018

With given measurements, we cannot form a triangle.

Explanation:

![https://study.com/academy/lesson/http://inequalities-in-one-triangle.html](https://useruploads.socratic.org/RMVu5uMTdaYqmZqzCJZM_greater%20angle%20greater%20side.jpg)

#a = 8, b = 10, hat A = (5pi) / 24, hat B = (3pi) / 24#

We know greater side will have greater angle opposite to it. But in the given sum, though #(a = 8) < (b = 10), hat A = (5pi)/24#, which is greater than #hat B#.

hence we cannot form a triangle with the given measurements.

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