Question

Котангенс острого угла D прямоугольной трапеции ABCD равен й Найдите AD, если AB = BC = 10. Ответ: AD =

Answer 1

Ответ:

17,5

Объяснение:

Answer 2

To find AD in the right trapezoid ABCD, we need to use the tangent of angle D.

In a right trapezoid, the adjacent sides to angle D are AB and AD. Since AB = BC = 10, we have AD = BC = 10.

Now, let's find the tangent of angle D. The tangent of an acute angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the side opposite angle D is AB, and the side adjacent to angle D is BC. Therefore, the tangent of angle D is:

tan(D) = AB / BC = 10 / 10 = 1.

Since the tangent of angle D is 1, we can conclude that angle D is 45 degrees, which makes trapezoid ABCD an isosceles right trapezoid.

Since AD = BC = 10, the value of AD is 10.

Therefore, the answer is AD = 10.