Question

В равнобедренной трапеции большее основание равно 7 см, угол при основании равен 60 градусов, боковая сторона 3, 2 см. Найдите меньшее основание трапеции. РЕШЕНИЕ, ПОЖАЛУЙСТА!!!

Answer 1

Надеюсь, что все правильно здесь

Answer 2

Problem Analysis

We are given a trapezoid with the following information: - The larger base of the trapezoid is 7 cm. - The angle at the base is 60 degrees. - One of the lateral sides is 3.2 cm.

We need to find the length of the smaller base of the trapezoid.

Solution

To find the length of the smaller base of the trapezoid, we can use the properties of a trapezoid.

Let's denote the smaller base as x.

Using the properties of a trapezoid, we can set up the following equation:

x + 2 * (3.2 cm) * sin(60 degrees) = 7 cm.

Simplifying the equation, we have:

x + 3.2 cm = 7 cm.

Subtracting 3.2 cm from both sides of the equation, we get:

x = 7 cm - 3.2 cm.

Calculating the value, we find:

x = 3.8 cm.

Therefore, the length of the smaller base of the trapezoid is 3.8 cm.

Answer

The length of the smaller base of the trapezoid is 3.8 cm.