Question

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

Explanation:

Step1: Recall triangle side classifications

A scalene triangle has all sides of different lengths (and all angles different). An isosceles triangle has at least two equal sides (and at least two equal angles). An equilateral triangle has all three sides equal (and all angles \(60^\circ\)).

Step2: Analyze the given triangle

The triangle has two angles marked equal (the two with the red arcs) and one different angle. By the Isosceles Triangle Theorem, sides opposite equal angles are equal. So, two sides are equal, but since not all three angles are equal (the third angle is different), it's not equilateral. Thus, it's isosceles but not equilateral.

Answer:

Isosceles but not equilateral