In a triangle, one of the sides is 10, the other 10√2, and the angle between them is 45 °. Find the area of a triangle.

Knowing the two sides of the triangle and the angle between them, you can find the area of the triangle by the formula S tr. = 1/2 * ab * sin A, where a and b are known sides, and angle A is the angle between sides a and b.

We have a = 10, b = 10√2, <A = 45 °. S tr. = 1/2 * 10 * 10√2 * sin 45 ° = 50√2 * √2 / 2 = 50.

Answer. fifty.