# In a right triangle one of the legs is 7, and the acute angle adjacent to it is 45 °. Find the area of the triangle

May 31, 2020 | Education

| 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 = 7 * 7/2 = 24.5

Answer: Triangle = 24.5

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