Question

What is the area of △ABC

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