G Y I W Z F V U H K The sides of two equilateral triangles FGH and IJK meet at points X, Y, Z, U, V and W as shown, where IJ || FH. The perimeters of triangles IXW, IJK and FGH are 5 cm, 25 cm and 35 cm respectively, and LGXY = 60°. What is the perimeter, in centimeters, of AZHU?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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G
Y
I
W
Z
F
V
U
H
K
The sides of two equilateral triangles FGH and IJK meet at points X, Y,
Z, U, V and W as shown, where IJ || FH. The perimeters of triangles
IXW, IJK and FGH are 5 cm, 25 cm and 35 cm respectively, and
LGXY = 60°. What is the perimeter, in centimeters, of AZHU?
Transcribed Image Text:G Y I W Z F V U H K The sides of two equilateral triangles FGH and IJK meet at points X, Y, Z, U, V and W as shown, where IJ || FH. The perimeters of triangles IXW, IJK and FGH are 5 cm, 25 cm and 35 cm respectively, and LGXY = 60°. What is the perimeter, in centimeters, of AZHU?
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