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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![**Problem Statement:**
6. If \( \triangle ABC \sim \triangle MRK \), then what is the length of \( BC \)?
\[ 1x + 2 = 4x + 2 \]
**Diagram Description:**
Two triangles are depicted, showcasing the similarity between \( \triangle ABC \) and \( \triangle MRK \).
- **Triangle MRK:**
- Side MK is labeled as 6.
- Side MR has a length expression of \( 2x + 2 \).
- **Triangle ABC:**
- Side AC is labeled as 9.
- Side AB has a length expression of \( 4x + 2 \).
Since the triangles are similar, their corresponding sides are proportional. Using this information and the given expressions, you can set up equations to find the exact lengths of the sides, such as \( BC \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff94d9d23-7978-492a-bec9-1b9c11961432%2F66e776f5-5c2b-4d20-9ccb-e03c842a8b96%2Fxg3wfi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
6. If \( \triangle ABC \sim \triangle MRK \), then what is the length of \( BC \)?
\[ 1x + 2 = 4x + 2 \]
**Diagram Description:**
Two triangles are depicted, showcasing the similarity between \( \triangle ABC \) and \( \triangle MRK \).
- **Triangle MRK:**
- Side MK is labeled as 6.
- Side MR has a length expression of \( 2x + 2 \).
- **Triangle ABC:**
- Side AC is labeled as 9.
- Side AB has a length expression of \( 4x + 2 \).
Since the triangles are similar, their corresponding sides are proportional. Using this information and the given expressions, you can set up equations to find the exact lengths of the sides, such as \( BC \).
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