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

Solution

## The correct option is A 24 We know that AC×BC=DC2 32×18=x2 x2=576 x=24,−24 Discard negative value, as length cannot be negative. Hence, x = 24 cm

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