Question

A)
If circle with center
has chords
and
that intersect at point
inside the circle and thelength of
,
, and
, find the length of chord
.
(1 point)
Q GH YZ R
GR = 45 HR = 2 YR = 3 YZ
Chord
is 47 units long.
Y
Z
Chord
is 90 units long.
Y
Z
Chord
is 33 units long.
Y
Z
Chord
is 30 units long.

Answer 1

Use the intersecting chords theorem: (GR)(HR) = (YR)(RZ).

Compute RZ = (GR·HR)/YR = (45·2)/3 = 90/3 = 30.

Thus YZ = YR + RZ = 3 + 30 = 33 units.