A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 3, respectively. The angle between A and C is (5pi)/245π24 and the angle between B and C is (7pi)/247π24. What is the area of the triangle?

1 Answer
Deepak G.
Aug 19, 2016

Area of the triangle =3=3

Explanation:

Clearly this is a right-angled triangle
where base= A=2 and height=B=3base=A=2andheight=B=3 and
angle between AA and BB =pi-((7pi)/24+(5pi)/24)=pi-((pi)/2)=(pi)/2π−(7π24+5π24)=π−(π2)=π2
Therefore we can write

Area of the triangle =1/2times height timesbase=1/2times3times2=3=12×height×base=12×3×2=3

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