Question

What is the area of △ABC

?



Enter your answer, as a decimal, in the box.

Round only your final answer to the nearest tenth.
units²

Answer 1

In order to solve the area of a non-right triangle, given only one angle and two sided NOT opposite the given angle. This is an important distinction, because the Law of Sines cannot be used in this case. Instead we employ a special formula:
A = 1/2 × ab × sinC, where a is opposite A, b is opposite B
C = 25.1, a = 17, b = 10
A = 1/2 × ab × sinC = 1/2×(17)(10)sin25.1
A = (85)(0.4242) = 30.06 units^2 = 30.1 units^2