If sides A and B of a triangle have lengths of 1 and 2 respectively, and the angle between them is #(5pi)/8#, then what is the area of the triangle?

2 Answers
Jordan A.
May 3, 2018

A = 0.924 #units^2#

Explanation:

Remember that the equation for finding the area of a triangle is
1/2 ab sinC
So in this case the area is equal to: 1/2x1x2xsin(5#pi#/8)
Which simply becomes sin(5#pi#/8) (remember to have your calculator in radians mode)

sankarankalyanam
May 3, 2018

#color(crimson)(A_t = 0.9239 " sq units"#

Explanation:

Formula for area of triangle = (1/2) b c sin A, knowing two sides and the included angle.

#b = 1, c = 2, hat A = (5pi)/8#

#"Area of Triangle " A_t = cancel(1/2) * 1 * cancel2 * sin ((5pi)/8)#

#color(crimson)(A_t = sin ((5pi)/8) = 0.9239 " sq units"#

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