This is a geometry question. **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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Answered: b. Find the values of x and y. 20 12 A…

Math

Geometry

b. Find the values of x and y. 20 12 A 16 DY

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.

**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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