A triangle with sides 15 , 12 and 15 is an isosceles triangle. sometimes always never cannot determine

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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**Determining the Type of Triangle:**

**Question:**
A triangle with sides 15, 12, and 15 is _____ an isosceles triangle.

**Answer Options:**
- sometimes
- always
- never
- cannot determine

**Explanation:**
To determine if a triangle with given side lengths is isosceles, we look for at least two sides that are of equal length. In this case, the side lengths are 15, 12, and 15. Since two sides (15 and 15) are of equal length, this triangle is always an isosceles triangle.

**Choosing the Correct Answer:**
Here, the option "always" should be selected because a triangle with sides 15, 12, and 15 is always an isosceles triangle.
Transcribed Image Text:**Determining the Type of Triangle:** **Question:** A triangle with sides 15, 12, and 15 is _____ an isosceles triangle. **Answer Options:** - sometimes - always - never - cannot determine **Explanation:** To determine if a triangle with given side lengths is isosceles, we look for at least two sides that are of equal length. In this case, the side lengths are 15, 12, and 15. Since two sides (15 and 15) are of equal length, this triangle is always an isosceles triangle. **Choosing the Correct Answer:** Here, the option "always" should be selected because a triangle with sides 15, 12, and 15 is always an isosceles triangle.
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