Question

Расстояние от центра вписанной в прямоугольную трапецию окружности до концов большей стороны

Answer 1

Бмлп алалела ададеле дададалада адвдвзаб кзкжабрл пщпдпщпьазпбщпюаща щабащебащабл пдпдплюпла

Answer 2

Calculating the Distance from the Center of the Inscribed Circle to the Ends of the Longer Base of a Trapezoid

To calculate the distance from the center of the inscribed circle to the ends of the longer base of a trapezoid, we can use the following formula:

Distance = (1/2) * |(a - b)| * √(r^2 / ((a - b)^2))

Where: - a and b are the lengths of the two parallel sides of the trapezoid. - r is the radius of the inscribed circle.

Let's use this formula to calculate the distance.

Applying the Formula

Given that the lengths of the two parallel sides of the trapezoid are 16 and 23, and the radius of the inscribed circle is 5, we can substitute these values into the formula:

Distance = (1/2) * |(16 - 23)| * √(5^2 / ((16 - 23)^2))

Calculating the Distance

Distance = (1/2) * |-7| * √(25 / 49) Distance = (1/2) * 7 * √(25 / 49) Distance = 3.5 * √(25 / 49) Distance ≈ 3.5 * 0.714 ≈ 2.5

So, the distance from the center of the inscribed circle to the ends of the longer base of the trapezoid is approximately 2.5 units.