Question

for each triangle, check all that apply. triangle a triangle b triangle c scalene scalene scalene isosceles isosceles isosceles equilateral equilateral equilateral

Explanation:

Step1: Recall triangle definitions

• Scalene triangle: A triangle with all three sides of different lengths.
• Isosceles triangle: A triangle with at least two sides of equal length.
• Equilateral triangle: A triangle with all three sides of equal length.

Step2: Analyze Triangle A

The side lengths are \(10\), \(11\), and \(14\). Since all three sides have different lengths, it is a scalene triangle.

Step3: Analyze Triangle B

The side lengths are \(7\), \(11\), and \(11\). Since two sides (\(11\) and \(11\)) are equal, it is an isosceles triangle.

Step4: Analyze Triangle C

The side lengths are \(8\), \(8\), and \(8\). Since all three sides are equal, it is an equilateral triangle. An equilateral triangle is also a special case of an isosceles triangle (as it has at least two equal sides).

Answer:

• Triangle A: Scalene
• Triangle B: Isosceles
• Triangle C: Isosceles, Equilateral