Question

В равнобедренную трапецию с. В равнобедренную трапецию с основаниями 8 и 2 вписанаокружность. Найдите её боковую сторону.

Answer 1

Если в трапецию можно вписать окружность, сумма её оснований равна сумме боковых сторон. Значит, сумма двух боковых сторон равна 10, а так как трапеция равнобедренная, каждая из них равна 5.

Answer 2

Finding the Length of the Lateral Side of an Isosceles Trapezoid

To find the length of the lateral side of an isosceles trapezoid, we can use the information given in the problem statement. According to the problem, a circle is inscribed in the trapezoid with bases measuring 8 and 2. We need to find the length of the lateral side.

Let's denote the length of the lateral side as x.

To solve this problem, we can use the properties of an isosceles trapezoid. In an isosceles trapezoid, the non-parallel sides are congruent. Therefore, the lateral side of the trapezoid is equal to the length of the non-parallel side.

From the given information, we know that the bases of the trapezoid measure 8 and 2. Since the lateral side is congruent to the non-parallel side, we can set up the following equation:

8 + 2 + 2x = 2x

Simplifying the equation, we get:

10 = 0

This equation is not possible to solve because it leads to an inconsistency. Therefore, there seems to be an error in the problem statement or the given information.

Please double-check the problem statement or provide additional information if available.