Question

classify each triangle by its angles and sides. equal sides and equal angles, if any, are indicated in each diagram. 13) 14) 15) 16)

Explanation:

Step1: Classify triangle 13

All angles are less than \(90^{\circ}\) (acute), and no sides are equal (scalene).

Step2: Classify triangle 14

One angle is \(90^{\circ}\) (right), and no sides are equal (scalene).

Step3: Classify triangle 15

Two sides are equal (isosceles), and one angle is greater than \(90^{\circ}\) (obtuse).

Step4: Classify triangle 16

All sides are equal (equilateral), so all angles are \(60^{\circ}\) (acute).

Answer:

1. Acute scalene triangle
2. Right scalene triangle
3. Obtuse isosceles triangle
4. Acute equilateral triangle