In a right-angled triangle, one of the legs is 10, and the angle opposite it is 45 degrees. Find the area of the triangle.
| March 10, 2021 | education
Since one of the angles of this right-angled triangle is 45 °, then the second angle between the leg and the hypotenuse of this triangle is 45 °. Therefore, this right-angled triangle is isosceles and the second leg is also 10.
The area of a right-angled triangle is equal to half the product of its legs:
S = 0.5 * a * b = 0.5 * 10 * 10 = 50.
Answer: 50.
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