Math  /  Geometry

QuestionClassifying scalene, isosceles, and equilateral triangles by side lengths
For each triangle, check all that apply.

Studdy Solution

STEP 1

1. A scalene triangle has all sides of different lengths.
2. An isosceles triangle has at least two sides of equal length.
3. An equilateral triangle has all three sides of equal length.

STEP 2

1. Classify Triangle A by its side lengths.
2. Classify Triangle B by its side lengths.
3. Classify Triangle C by its side lengths.

STEP 3

Examine the side lengths of Triangle A: 6, 7, and 8.
- Since all three sides are different, Triangle A is a scalene triangle.

STEP 4

Examine the side lengths of Triangle B: 15, 15, and 15.
- Since all three sides are equal, Triangle B is an equilateral triangle. - An equilateral triangle is also considered isosceles because it has at least two equal sides.

STEP 5

Examine the side lengths of Triangle C: 5, 7, and 11.
- Since all three sides are different, Triangle C is a scalene triangle.
Based on the classifications: - Triangle A is scalene. - Triangle B is equilateral and isosceles. - Triangle C is scalene.

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