18. For the three-part question that follows, provide your answer to each part in the given workspace. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Use the image below to answer the questions. A 33 22 B D Part A: Can the Triangle Angle Bisector Theorem be used to solve for x in the triangle? Why or why not? Part B: What is a proportion of the corresponding sides in the triangle that can be used to find the value of æ? Part C: Find the value of z using the Triangle Angle Bisector Theorem. Show all work.

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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For the three-part question that follows, provide your answer to each part in the given workspace. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Use the image below to answer the questions:

The image shows a triangle ABC with a bisector AD. Side AB is 33 units, side AC is 22 units, segment BD is labeled as \( x \), and segment DC is labeled as 4.

**Part A**: Can the Triangle Angle Bisector Theorem be used to solve for \( x \) in the triangle? Why or why not?

**Part B**: What is a proportion of the corresponding sides in the triangle that can be used to find the value of \( x \)?

**Part C**: Find the value of \( x \) using the Triangle Angle Bisector Theorem. Show all work.
Transcribed Image Text:For the three-part question that follows, provide your answer to each part in the given workspace. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Use the image below to answer the questions: The image shows a triangle ABC with a bisector AD. Side AB is 33 units, side AC is 22 units, segment BD is labeled as \( x \), and segment DC is labeled as 4. **Part A**: Can the Triangle Angle Bisector Theorem be used to solve for \( x \) in the triangle? Why or why not? **Part B**: What is a proportion of the corresponding sides in the triangle that can be used to find the value of \( x \)? **Part C**: Find the value of \( x \) using the Triangle Angle Bisector Theorem. Show all work.
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