In a triangle, one of the sides is 10, the other is 10√3, and the angle between them is 60 degrees. Find the area of the triangle.

Let’s use the formula for the area of a triangle: S = 1/2 * a * b * sin (c), where a and b are the sides of the triangle, c is the angle between them.

Substituting the known values into the formula, we get:

S = 1/2 * 10 * 10 * √3 * sin (60 °) = 50 * √3 * √3 / 2 = 25 * 3 = 75.

Answer: the required area of the triangle is 75.