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classify this triangle by its sides. isosceles but not equilateral scal…

Question

classify this triangle by its sides.
isosceles but not equilateral
scalene
equilateral

Explanation:

Step1: Recall triangle side classifications

A triangle can be scalene (all sides different), isosceles (at least two sides equal), or equilateral (all three sides equal, which also means all angles equal).

Step2: Analyze the given triangle

The triangle has all three angles marked as equal (the tick marks on the angles indicate equal angles). In a triangle, equal angles imply equal opposite sides. So if all angles are equal, all three sides must be equal.

Step3: Match with the options

  • "isosceles but not equilateral" is incorrect because an equilateral triangle is a special case of isosceles, but here all sides are equal (so it is equilateral, not just isosceles non - equilateral).
  • "scalene" is incorrect as scalene triangles have all sides different, but this triangle has equal sides (from equal angles).
  • "equilateral" is correct because all three angles (and thus all three sides) are equal.

Answer:

equilateral