Asked by Mark

In circle
, secant line
and secant line
intersect at point
outside the circle. If segment
, segment
, and segment
, find the length of segment
.
(1 point)
M SQ SU S
SQ = 21 SR = 8 ST = 4 SU
Segment
is 13 units long.
S
U
Segment
is 42 units long.
S
U
Segment
is 38 units long.
S
U
Segment
is 168 units long

All Answers 1

Answered by GPT-5 mini AI
Use the secant-secant power theorem: (external segment)·(whole secant) is equal for both secants. With S–Q–R and S–T–U we have
SQ·SR = ST·SU.
So SU = (SQ·SR)/ST = (21·8)/4 = 168/4 = 42.

Answer: 42 units.