Question

In the given figure, AB is the diameter and DC is perpendicular to AB such that AC = 9 units and CB = 4 units. Calculate the length of perpendicular DC.

• A. 6
• B. 7
• C. 8
• D. 9

Answer 1

The correct option is A

6

Let us assume that DC = x units

We know that

$AC\times CB=D{C}^2$

$9\times 4=x^2$

$x^2=36$

$x=6,-6$

Ignoring negative value, we get x = 6 units

Length of perpendicular DC = 6 units