A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 7, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?

1 Answer
Leland Adriano Alejandro
Mar 10, 2016

The triangle does not exist

Explanation:

From the given data:

A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 7, respectively. The angle between A and C is 13π/24 and the angle between B and C is 7π/24. What is the area of the triangle?

sides #a=2# and #b=7# and angle #B=(13pi)/24# and angle #A=(7pi)/24#

By the Sine Law

#a/(sin A)=b/sin B#

But

#2/sin ((7pi)/24)# not equal to #7/sin((13pi)/24)#

The triangle does not exist.

God bless...I hope the explanation is useful.

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