Question

Найдите площадь прямоугольнооо равнобедренного треугольника с гипотенузой 8см.

Answer 1

X^2+x^2=8^2
2x^2=16
x^2=8
x=sqrt8
S=1/2*x^2
S=1/2*8
S=4

Answer 2

Calculating the Area of a Right Isosceles Triangle

To find the area of a right isosceles triangle with a hypotenuse of 8 cm, we can use the formula for the area of a triangle, which is given by:

Area = 0.5 * base * height

In this case, the base and height of the triangle can be calculated using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Calculating the Base and Height of the Triangle

Using the Pythagorean theorem, we can calculate the base and height of the triangle as follows:

c^2 = a^2 + b^2

Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Given that the hypotenuse (c) is 8 cm, we can calculate the lengths of the other two sides using the Pythagorean theorem.

c^2 = a^2 + b^2 8^2 = a^2 + b^2 64 = a^2 + b^2

From the search result snippet, we can see that the length of the other two sides is 15 cm.

a = 8 cm b = 15 cm

Calculating the Area of the Triangle

Now that we have the base and height of the triangle, we can calculate the area using the formula:

Area = 0.5 * base * height Area = 0.5 * 8 * 15 Area = 60 cm^2

So, the area of the right isosceles triangle with a hypotenuse of 8 cm is 60 square centimeters.