Question

Прямые BD, BC и AD попарно перпендикулярны, найдите отрезок CD если: BD = 9 см, BC = 16 см и AD = 5 см...​

Answer 1

ответ дан на изображение

Answer 2

Problem Statement

We are given that the line segments BD, BC, and AD are pairwise perpendicular. We need to find the length of the segment CD given that BD = 9 cm, BC = 16 cm, and AD = 5 cm.

Solution

To find the length of CD, we can use the Pythagorean theorem. According to the theorem, in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we can consider triangle BCD, where BD is the hypotenuse, BC is one side, and CD is the other side. Using the Pythagorean theorem, we can write the equation:

BD^2 = BC^2 + CD^2

Substituting the given values, we have:

9^2 = 16^2 + CD^2

Simplifying the equation:

81 = 256 + CD^2

CD^2 = 81 - 256

CD^2 = -175

Since the square of a real number cannot be negative, we can conclude that there is no real solution for the length of CD.