The two sides of the triangle are 3 and 8, and the angle between them is 39 degrees, find the area of the triangle.

If, according to the condition of the problem, two sides and the angle are known, we use the formula for the area of a triangle through the sides and the sine of the angle between them.
S = 1/2 * a * b * sin γ = 1/2 * 3 * 8 * sin 39 °.
We find the sine of 39 ° in the table and substitute it into the formula:
Sin 39 ° = 0.62932
S = 1/2 * 3 * 8 * 0.62932 = 7.55184 ≈ 7.55.
It is not clear why the answer is 6.
Answer: the area of the triangle is 7.55 square units.