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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This is a geometry question.
Transcribed Image Text:**Question 14:**
**a. Name two triangles that are similar to ΔABC.**
**b. Find the values of x and y.**
**Diagram Description:**
The diagram shows a right triangle ΔABC with a right angle at C. Inside this triangle, another right triangle ΔADC is formed with AD perpendicular to BC.
- **Triangle ΔABC:**
- Side AB (hypotenuse) = \( x \)
- Side AC = 20
- Side BC = \( y \)
- **Triangle ΔADC:**
- Side AD = 16
- Side DC = 12
- Side AC = 20 (shared side)
- **Triangle ΔBCD:**
- Side BD = \( y \)
- Side DC = 12
- Side BC = \( x \)
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