A triangle has sides A, B, and C. Sides A and B have lengths of 10 and 4, respectively. The angle between A and C is #(7pi)/24# and the angle between B and C is # (pi)/8#. What is the area of the triangle?

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Answer 1 · 2018-05-14T09:28:10

#A=19.31851653 cm^2#

#[7pi]/24+pi/8=[7pi]/24+[3pi]/24=[10pi]/24#

The angle at C is #[24pi]/24-[10pi]/24=[14pi]/24#

Area of the triangle is #1/2 xxaxxbxxsinC#

A=#1/2 xx 10 xx 4 xx sin [[14pi]/24]#

A=19.31851653