Question

Кто сможет???? Сумма длин оснований трапеции 21 см , а длины диагоналей 13 см и 20 см. Найдите площадь трапеции.

Answer 1

Решение во вложенном файле.

Answer 2

Calculation of Trapezoid Area

To find the area of a trapezoid, we can use the formula:

Area = (sum of the lengths of the bases) * (height) / 2

In this case, we are given the sum of the lengths of the bases as 21 cm, and the lengths of the diagonals as 13 cm and 20 cm. However, we need the lengths of the bases to calculate the area.

To find the lengths of the bases, we can use the fact that the diagonals of a trapezoid divide it into four triangles. Let's call the lengths of the bases a and b, and the height h. We can use the Pythagorean theorem to relate the lengths of the diagonals, bases, and height:

a^2 + h^2 = 13^2 b^2 + h^2 = 20^2

We can solve these two equations simultaneously to find the values of a and b.