Elementary Geometry For College Students, 7e
7th Edition
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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Transcribed Image Text:In the figure, RS = 6, RT = 4, and TU = 10. What is the
length of UV?
%3D
R.
T
V.
U
o not enough information
0 4
o 15
0 9
M
Expert Solution

Step 1
solution
given values are
RS = 6, RT = 4, TU = 10
To find length of UV
We will use similarity
Now consider triangle ∆RST and ∆UVT
LTRS = LVUT(90 degree angle)
LRTS = LUTV (Vertically opp. Angle)
LTSR = LUVT (If in triangle two angles same then third will be same)
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