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12. select all three isosceles triangles:

Question

  1. select all three isosceles triangles:

Explanation:

Step1: Recall the definition of an isosceles triangle

An isosceles triangle has at least two sides of equal length.

Step2: Analyze each triangle

  • Triangle A: Sides are \(5\), \(7\), \(8\). No two sides are equal.
  • Triangle B: Sides are \(6\), \(8\), \(8\). Two sides (\(8\) and \(8\)) are equal.
  • Triangle C: Sides are \(6\), \(6\), \(6\). All three sides are equal (an equilateral triangle is a special case of an isosceles triangle).
  • Triangle D: Sides are \(6\), \(7\), \(8\). No two sides are equal.
  • Triangle E: Sides are \(4\), \(5\), \(7\). No two sides are equal.
  • Triangle F: Sides are \(7\), \(7\), \(4\). Two sides (\(7\) and \(7\)) are equal.

Answer:

B, C, F