Find area of triangle. Angle P is 39 degrees angle q is 25 degrees. Side PR is 22 cm side RQ is 33 cm

To find the area of a triangle given two side lengths and the included angle, we can use the formula:

A = \frac{1}{2}ab\sin C

where a and b are the side lengths and C is the included angle.

Given that angle P is 39 degrees, angle Q is 25 degrees, side PR is 22 cm, and side RQ is 33 cm, we can use the sine rule to find the area of triangle PQR.

1. Find the third angle:
Angle R = 180° - (39° + 25°) = 116°

2. Calculate the area:
A = \frac{1}{2} \times 22 \times 33 \times \sin 116°

3. Calculate the area:
A = \frac{1}{2} \times 22 \times 33 \times \sin 116°

A=\frac{1}{2}\times22\times33\times0.8988



\boxed{A=326.26\,cm^2}

Answer: \boxed{A=326.26\,cm^2}