Regents High School Examination - Geometry Answers - The University Of The State Of New York Page 12

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24 The diagram below shows a pennant in the shape of an isosceles
computations.
triangle. The equal sides each measure 13, the altitude is x
+
7, and
the base is
2x.
y
l.t{X+7]'\
n
L
.x l.+
X
1..+7)+
7x
IY4~J6,cj
d-x~
t)Lfx -})();
0
What is the length of the base?
(1) 5
(3) 12
~
J-f
7
X -
6D
~ Q
®
10
(4) 24
(x
f
lJ)
(x~5)
-; ()
t:4
x~~
25 In the diagram below of MBC, CD is the bisector of LBCA, AE is
d-x-:..'
D
the bisector of LCAB, and BG is drawn.
B
BG-
)5
~J;()
QY)
A~------------------~C
t4Yl9)e
,6j5:dov~
Which statement must be true?
'j' ;
Y)
c,u ,
f
I
rrft-YS
~
C-
is
(1) DG
=
EG
(3) LAEB - LAEC
(2) AG
=
BG
@
LDBG-LEBG
f
k.
(6)t
('ur
yt)1
Lf
---
AE.
---­
of
GD
~
Geometry - June '10
[12]

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