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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Question

Transcribed Image Text:**Problem 2: Determine the length of SV**
**Given:** TV ⊥ SU and UV = 5.3.
**Diagram Explanation:**
The diagram features a triangle \( \Delta STU \) with a right angle (indicated by a red square) at point V where TV is perpendicular to SU. Point V is located on line SU directly below point T, forming two right-angled triangles: \( \Delta TVU \) and \( \Delta TVS \).
A vertical line \( TV \) drops from point T perpendicularly to line SU intersecting at V. The length of UV is given as 5.3 units.
**Question:** Find the length of \( SV \).
**Possible Answers:**
1. \( SV = 7.95 \)
2. \( SV = 2.65 \)
3. \( SV = 10.6 \)
4. \( SV = 5.3 \)
To solve this problem, use the Pythagorean theorem or other geometric properties of right triangles as needed to determine the correct length of SV.
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