Question

Гипотенуза равнобедренного прямоугольного треугольника равна 12 м. Найдите его площадь.

Answer 1

Ответ: 36м²

Объяснение:

если гипотенуза 12 м, а каждый катет х, то площадь равна х²/2, по Пифагору  144 =2х²; откуда х²/2=144/4=36/м²/

Answer 2

Finding the Area of an Isosceles Right Triangle

To find the area of an isosceles right triangle, we need to know the length of the hypotenuse. In this case, the hypotenuse of the triangle is given as 12 meters.

The area of an isosceles right triangle can be calculated using the formula: Area = (1/2) * (side length)^2.

Since the triangle is isosceles, the two legs are equal in length. Let's assume the length of each leg is 'x'.

Using the Pythagorean theorem, we can find the length of the legs: x^2 + x^2 = 12^2 Simplifying the equation: 2x^2 = 144 x^2 = 72 x = sqrt(72) x ≈ 8.4853

Now that we know the length of each leg, we can calculate the area of the triangle: Area = (1/2) * (8.4853)^2 Area ≈ 36 square meters

Therefore, the area of the isosceles right triangle with a hypotenuse of 12 meters is approximately 36 square meters.

Please note that the calculations are approximate due to rounding.

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