Question

5.1 classifying triangles
classify each triangle by sides and angles.
1.
2.
3.
4.

Explanation:

Step1: Analyze Triangle 1

• By sides: Two sides have two marks, one side has one mark. So two sides are equal (isosceles).
• By angles: One angle is \(110^\circ\) (obtuse, greater than \(90^\circ\)).
• Classification: Obtuse Isosceles Triangle.

Step2: Analyze Triangle 2

• By sides: All sides are different (\(5, 7, 8\)). So scalene.
• By angles: One right angle (marked). So right.
• Classification: Right Scalene Triangle.

Step3: Analyze Triangle 3

• By sides: Two sides have one mark (equal). So isosceles.
• By angles: All angles look acute (less than \(90^\circ\)). So acute.
• Classification: Acute Isosceles Triangle.

Step4: Analyze Triangle 4

• By sides: All three sides have one mark (equal). So equilateral.
• By angles: All angles in equilateral are \(60^\circ\) (acute). So acute.
• Classification: Acute Equilateral (or Equiangular) Triangle.

Answer:

1. Obtuse Isosceles Triangle
2. Right Scalene Triangle
3. Acute Isosceles Triangle
4. Acute Equilateral Triangle