In a right-angled triangle, one of the legs is 35, and the angle opposite it is 45 degrees. Find the areas of the triangle.

The condition says that one of the acute angles is 45 °. Then the second angle is also 45 ° (90 ° – 45 °). We get two equal angles and assert that the right-angled triangle given by the condition is isosceles, the legs are equal.
Find the area of the triangle:
S = 1/2 * a * b = 1/2 * a² = 1/2 * 35² = 612.5.
Answer: The area of a triangle is 612.5 square units.