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for each triangle, check all that apply. triangle a triangle b triangle…

Question

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

Explanation:

Step1: Recall triangle classification rules

  • Equilateral triangle: All three sides are equal.
  • Isosceles triangle: At least two sides are equal.
  • Scalene triangle: All three sides are of different lengths.

Step2: Analyze Triangle A

The side lengths are \(4\), \(5\), and \(6\). Since \(4
eq5
eq6\), all sides are different.

Step3: Analyze Triangle B

The side lengths are \(7\), \(7\), and \(11\). Since two sides (\(7\) and \(7\)) are equal.

Step4: Analyze Triangle C

The side lengths are \(13\), \(13\), and \(13\). Since all three sides are equal.

Answer:

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