Question

1. classify by side and angle.

Explanation:

Step1: Analyze side lengths

Check if any sides are equal. The side lengths are \(6.1\), \(7.4\), and \(8.7\). All are different (\(6.1
eq7.4
eq8.7
eq6.1\)). So, by side, it's a scalene triangle (all sides of different lengths).

Step2: Analyze angle measures

Check if any angles are equal or if there's an obtuse/right angle. The angles are \(57^\circ\), \(79^\circ\), and \(44^\circ\). All angles are less than \(90^\circ\) (acute) and all are different (no equal angles). So, by angle, it's an acute triangle (all angles acute) and also scalene in angles (but since all sides are different, angles are different too, but the main angle classification here is acute as all angles are acute).

Answer:

By side: Scalene Triangle (all sides \(6.1\), \(7.4\), \(8.7\) are different). By angle: Acute Triangle (all angles \(57^\circ\), \(79^\circ\), \(44^\circ\) are acute (less than \(90^\circ\))). So the triangle is a Scalene Acute Triangle.