Question

Гипотенуза прямоугольного равнобедренного треугольника равна 4 корень из 2 см. Найти площадь треугольника

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

Given Information

We are given that the hypotenuse of a right isosceles triangle is equal to 4√2 cm.

Solution

To find the area of the triangle, we need to know the lengths of the two legs. Since the triangle is right isosceles, the two legs are equal in length.

Let's assume the length of each leg is 'a' cm.

Using the Pythagorean theorem, we can write the equation:

a^2 + a^2 = (4√2)^2

Simplifying the equation:

2a^2 = 32

Dividing both sides by 2:

a^2 = 16

Taking the square root of both sides:

a = 4

So, each leg of the triangle is 4 cm.

Calculating the Area

The area of a right isosceles triangle can be calculated using the formula:

Area = (base * height) / 2

In this case, since the triangle is isosceles, the base and height are equal to the length of the legs.

Therefore, the area of the triangle is:

Area = (4 * 4) / 2 = 8 square cm

So, the area of the triangle is 8 square cm.

Note: The area of the triangle is calculated based on the assumption that the triangle is right isosceles. If there is any additional information or specific conditions given in the problem statement, please provide them for a more accurate calculation.