Question

If x is the length of perpendicular CD drawn on the diameter AB and given that AC = 32 cm, BC = 18 cm, then x = ___ cm.

• A. 24
• B. 32
• C. 16
• D. 22

Answer 1

The correct option is A

24

We know that

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

$32\times 18=x^2$

$x^2=576$

$x=24,-24$

Discard negative value, as length cannot be negative.

Hence, x = 24 cm