Express answers as radicals and fractions of applicable. Also, the picture might be a little messy, sorry about that.According to Theorem 63, AB is a diameter, P is a point on AB, and AP = 3 inches, PB = 12 inches. Find the length of the chord perpendicular to AB at P. 4.12 Proportional Segments in Circles = 8.9 mcher5x-21510(50-(4)-2560 16ACFind ACS(act =AB}- (BỜAB $50m.2.вс-16xTheorem 63+16x2If two chords intersect within a circle, then the product òf the seg-ments of one is equal to the product of the segments of the other.100* 3x, BC = 4xB Fiad BCÁYAiwToricounetminio2 700Given: Circle O and chords AB and CD intersecting in P2 SIC25Prove:Proof. Develop in class.AP x PB = CP × PD10%3D24#レーFnd ADAT 25Corollary 63-114.4DCDB9.2The product of the segments of any chord through a fixed point19.814.440within a circle is constant.

Answered: 4.12 Proportional Segments in Circles =…

Elementary Geometry For College Students, 7e

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ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Express answers as radicals and fractions of applicable. Also, the picture might be a little messy, sorry about that.

According to Theorem 63, AB is a diameter, P is a point on AB, and AP = 3 inches, PB = 12 inches. Find the length of the chord perpendicular to AB at P.

4.12 Proportional Segments in Circles = 8.9 mcher
5x-
215
10
(50-(4)-
2560 16
AC
Find ACS(act =AB}- (BỜ
AB $50m.
2.
вс
-16x
Theorem 63
+16x2
If two chords intersect within a circle, then the product òf the seg-
ments of one is equal to the product of the segments of the other.
100
* 3x, BC = 4x
B Fiad BCÁYA
iwToricounetminio
2 700
Given: Circle O and chords AB and CD intersecting in P
2 SIC
25
Prove:
Proof. Develop in class.
AP x PB = CP × PD
10
%3D
24
#レーFnd AD
AT 25Corollary 63-1
14.4
DC
DB
9.2
The product of the segments of any chord through a fixed point
19.8
14.440within a circle is constant.

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