Question

Сторона АД параллелограмма АВСД лежит в плоскости альфа , а сторона АВ перпендикулярна к плоскости альфа .Найдите длину диагонали ВД, если АС =4 см???

Answer 1

ЙыфиавЫФПГВАЦпронвйм

Answer 2

Given Information

We are given that side AD of parallelogram ABCD lies in plane alpha, and side AB is perpendicular to plane alpha. We need to find the length of diagonal BD, given that AC = 4 cm.

Solution

To find the length of diagonal BD, we can use the properties of a parallelogram. In a parallelogram, opposite sides are equal in length and opposite angles are equal.

Since AD is a side of the parallelogram, we know that BD is also equal in length to AD. Therefore, to find the length of BD, we need to find the length of AD.

We are given that AC = 4 cm. Since AC is a side of the parallelogram, it is equal in length to BD. Therefore, BD = AC = 4 cm.

So, the length of diagonal BD is 4 cm.

Summary

In a parallelogram ABCD, if side AD lies in plane alpha and side AB is perpendicular to plane alpha, the length of diagonal BD is equal to the length of side AC, which in this case is 4 cm. Therefore, the length of diagonal BD is 4 cm.