Question

1. classify the triangle to the right.

be sure to classify by both angle measures & side lengths!

Explanation:

Step1: Classify by angle measures

All angles \(40^{\circ}\), \(75^{\circ}\), \(65^{\circ}\) are less than \(90^{\circ}\). So, it is an acute triangle.

Step2: Classify by side lengths

Since all angles are different, by the property that in a triangle, the larger angle is opposite the longer side and vice - versa. If all angles are different, then all side lengths are different. So, it is a scalene triangle.

Answer:

Acute scalene triangle.