Question

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

Explanation:

Step1: Recall triangle side classifications

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

Step2: Analyze the triangle

The triangle has a right angle and two equal acute angles (marked congruent). By the Isosceles Triangle Theorem, sides opposite equal angles are equal. So, two sides are equal, but it’s not equilateral (since one angle is \(90^\circ\), not \(60^\circ\)).

Answer:

isosceles but not equilateral