6. If AABC~AMRK, then what is the length of BC? 1xt2= 4X7L 2x +2 4x +2 M K A 9. C

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
icon
Related questions
Topic Video
Question
100%
Please help
**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 \( BC \).
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 \( BC \).
Expert Solution
Step 1

Geometry homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning