In a right triangle one of the legs is 35, and the angle opposite it is 45 °. Find the area of the triangle

By the theorem on the sum of the angles of a triangle, the third angle can be calculated, it is equal to 180 ° -90 ° -45 ° = 45 °.
Therefore, this triangle is isosceles (by the first property).
Those. the legs of this triangle are equal.
The area of a right triangle = ab / 2, where a and b are legs. Then:
Triangle = 35 * 35/2 = 612.5
Answer: Triangle = 612.5