Question

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

Explanation:

Step1: Recall triangle side classifications

• Equilateral: All 3 sides equal (all angles \(60^\circ\)).
• Isosceles: At least 2 sides equal (at least 2 angles equal).
• Scalene: All 3 sides different (all angles different).

Step2: Analyze the triangle's angles

The triangle has two angles with the same marking (so those two angles are equal), and one angle with a different marking. By the Isosceles Triangle Theorem, sides opposite equal angles are equal. So two sides are equal, and the third is different (since the third angle is different). Thus, it has exactly 2 equal sides (not all 3), so it's isosceles but not equilateral.

Answer:

isosceles but not equilateral