A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 1, respectively. The angle between A and C is $\frac{17 π}{24}$ $(17pi)/24$ and the angle between B and C is $(5 π) 24$ $(5pi)24$ . What is the area of the triangle?

Question

2063 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-17T10:21:11

Given measures do not qualify to form a triangle for the reason mentioned below.

$a = 3, ˆ A = \frac{5 π}{24}, b = 1, ˆ B = \frac{17 π}{24}$ $a = 3, hatA = (5pi)/24, b = 1, hatB = (17pi)/24$

enter image source here

In a triangle, larger side will have larger angle opposite to it.

But, though $ˆ B > ˆ A$ $hatB > hatA$ , side b $<$ $<$ side a.

Hence given measures do not qualify to form a triangle.

A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 1, respectively. The angle between A and C is 17π24(17pi)/24 and the angle between B and C is (5π)24 (5pi)24. What is the area of the triangle?