Question

Chords WP and KZ intersect at point L in the circle shownWZx3.r - 22KL5PWhat is the length of KZ?7.591012

Answer 1

This is the intersecting chord theorem:

WL * PL = KL * ZL

x * 5 = 2 * (3x-2)

5x= 6x-4 .....(put like terms together)

6x-5x = 4

x=4

length KZ = KL +LZ = 2 +(3x-2)

KZ=2+ (3(4) -2)

KZ = 2+ (12-2)

KZ = 2 +10 =12

So option 4 is the correct choice.