Example 6: Find the perimeter of AFGL, if the perimeter of AMHQ is 70.4 centimeters. AMHQ~AFLG F 12.8 10 M G. 8 32

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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**Example 6:** Find the perimeter of \( \triangle FGL \), if the perimeter of \( \triangle MHQ \) is 70.4 centimeters.

**Given:**

\[ \triangle MHQ \sim \triangle FLG \]

**Diagram Description:**

- Triangle \( MHQ \) is larger and on the left with sides:
  - \( MQ = 12.8 \) cm
  - \( MH = 32 \) cm

- Triangle \( FLG \) is smaller and on the right with sides:
  - \( FL = 10 \) cm
  - \( FG = 8 \) cm

**Objective:**

Determine the perimeter of \( \triangle FGL \) using the similarity relationships.
Transcribed Image Text:**Example 6:** Find the perimeter of \( \triangle FGL \), if the perimeter of \( \triangle MHQ \) is 70.4 centimeters. **Given:** \[ \triangle MHQ \sim \triangle FLG \] **Diagram Description:** - Triangle \( MHQ \) is larger and on the left with sides: - \( MQ = 12.8 \) cm - \( MH = 32 \) cm - Triangle \( FLG \) is smaller and on the right with sides: - \( FL = 10 \) cm - \( FG = 8 \) cm **Objective:** Determine the perimeter of \( \triangle FGL \) using the similarity relationships.
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