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 45, what is the area of the triangle?

1 Answer
Feb 14, 2016

271.299

Explanation:

the angle between A and B = Pi/2 so the triangle is a right-angled triangle.

In a right-angled triangle, the tan of an angle = (Opposite)/(Adjacent)

Substituting in the known values
Tan (Pi/2) = 3.7320508 = 45/(Adjacent)

Rearranging and simplifying
Adjacent = 12.057713

The area of a triangle = 1/2*base*height

Substituting in the values
1/2*45*12.057713 =271.299