Question

triangle practice 2025
classify each triangle by its angles and sides.
1)
2)
3)
4)
classify each triangle by its angles and sides. equal sides and equal angles, if any, are indicated in each diagram.
5)
6)

Explanation:

1)

• By angles: One angle is \(90^{\circ}\), so it is a right triangle.
• By sides: Two sides are equal (\(4.8 = 4.8\)), so it is an isosceles triangle.

2)

• By angles: One angle (\(112^{\circ}\)) is greater than \(90^{\circ}\), so it is an obtuse triangle.
• By sides: All sides (\(8.7\), \(6.7\), \(12.8\)) are of different lengths, so it is a scalene triangle.

3)

• By angles: One angle (\(120^{\circ}\)) is greater than \(90^{\circ}\), so it is an obtuse triangle.
• By sides: Two sides are equal (\(2.1 = 2.1\)), so it is an isosceles triangle.

4)

• By angles: All angles (\(34^{\circ}\), \(73^{\circ}\), \(73^{\circ}\)) are less than \(90^{\circ}\), so it is an acute triangle.
• By sides: Two sides are equal (\(4.8 = 4.8\)), so it is an isosceles triangle.

5)

• By angles: (Assuming the equal angles are acute, but without angle measures, we focus on sides).
• By sides: Two sides are equal (marked with tick - marks), so it is an isosceles triangle.

6)

• By angles: (Assuming all angles are acute as no angle is marked as right or obtuse).
• By sides: All sides are of different lengths (no tick - marks indicating equality), so it is a scalene triangle.

Answer:

1. Right - isosceles triangle
2. Obtuse - scalene triangle
3. Obtuse - isosceles triangle
4. Acute - isosceles triangle
5. Isosceles triangle
6. Scalene triangle