A triangle has sides A, B, and C. The angle between sides A and B is (pi)/2 and the angle between sides B and C is pi/12. If side B has a length of 55, what is the area of the triangle?

1 Answer
Jim G.
Mar 1, 2016

≈ 405.268 square units

Explanation:

Since the angle between A and B is pi/2" this is a right triangle with C ,the hypotenuse "
area of triangle = 1/2AB
Require to find A. This can be done using basic tangent ratio.

tan(pi/12) = A/B rArr A = Btan(pi/12) = 55tan(pi/12) ≈ 14.737

rArr " area " = 1/2xx55xx14.737 ≈ 405.268" square units "

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