Consider AGHJ in the figure below. The perpendicular bisectors of its sides are KN, LN, and MN. They meet at a single point N. (In other words, N is the circumcenter of AGHJ.) Suppose LN=78, GJ=94, and GN=130. Find HN, LJ, and GK. Note that the figure is not drawn to scale. G M H N 04 HN = LJ = GK =

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 10E
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Consider AGHJ in the figure below.
The perpendicular bisectors of its sides are KN, LN, and MN. They meet at a single point N.
(In other words, N is the circumcenter of AGHJ.)
Suppose LN=78, GJ=94, and GN=130.
Find HN, LJ, and GK.
Note that the figure is not drawn to scale.
M
H
N
m
K
J
HN I
LJ =
GK =
X
Transcribed Image Text:Consider AGHJ in the figure below. The perpendicular bisectors of its sides are KN, LN, and MN. They meet at a single point N. (In other words, N is the circumcenter of AGHJ.) Suppose LN=78, GJ=94, and GN=130. Find HN, LJ, and GK. Note that the figure is not drawn to scale. M H N m K J HN I LJ = GK = X
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