Question

Secant line MA←→−
of circle G
intersects secant line TH←→
outside the circle at point P
. Point M
is between point A
and point P
. Point T
is between point H
and point P
. Determine the measure of PT¯¯¯¯¯¯¯
if PM=6
, MA=10
, and PH=24
.(1 point)
PT=

Remaining Attempts : 3

Answer 1

By the secant-secant power theorem: PM · PA = PT · PH. Here PA = PM + MA = 6 + 10 = 16, so 6·16 = PT·24 ⇒ PT = 96/24 = 4.

PT = 4