In the figure, RS = 6, RT = 4, and TU = 10. What is the length of UV? %3D %3D %3D

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
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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
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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