Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? O A. Yes; scalene O B. Yes; isosceles O C. Yes; equilateral D. No

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
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Question 17

**Question:**
Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral?

**Answer Options:**
- A. Yes; scalene
- B. Yes; isosceles
- C. Yes; equilateral
- D. No

Explanation: 
To determine if a triangle can be formed with the given side lengths, one must use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

Additionally, the types of triangles based on side lengths are:
- **Scalene triangle:** All three sides have different lengths.
- **Isosceles triangle:** Two sides have the same length.
- **Equilateral triangle:** All three sides are of equal length.
Transcribed Image Text:**Question:** Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? **Answer Options:** - A. Yes; scalene - B. Yes; isosceles - C. Yes; equilateral - D. No Explanation: To determine if a triangle can be formed with the given side lengths, one must use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Additionally, the types of triangles based on side lengths are: - **Scalene triangle:** All three sides have different lengths. - **Isosceles triangle:** Two sides have the same length. - **Equilateral triangle:** All three sides are of equal length.
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