Answer:
43.3 square inches
Explanation:
Given two sides a and b and the angle α between them, the area of the triangle can be computed as ...
A = (1/2)ab·sin(α)
Putting the given values into the formula gives ...
A = (1/2)(14.1 in)(7.8 in)sin(52°) ≈ 43.3 in²
The area of the triangle is about 43.3 square inches.