https://file.aiquickdraw.com/mathbot/file/1729794378299zc20tdew.jpg

Let's classify each triangle by its angles and sides based on the provided information:

1. **Triangle 1**:
   - **Angles**: 73°, 73°, and 34°
   - **Classification by Angles**: **Acute triangle** (all angles are less than 90°)
   - **Classification by Sides**: **Isosceles triangle** (two sides are equal as two angles are equal)

2. **Triangle 2**:
   - **Sides**: 14.4 m, 15.6 m, 6 m
   - **Classification by Angles**: **Right triangle** (it contains a 90° angle)
   - **Classification by Sides**: **Scalene triangle** (all sides are different)

3. **Triangle 3**:
   - **Angle**: 123°
   - **Sides**: 7 in, 10 in, 15 in
   - **Classification by Angles**: **Obtuse triangle** (one angle is greater than 90°)
   - **Classification by Sides**: **Scalene triangle** (all sides are different)

4. **Triangle 4**:
   - **Sides**: 3 mm, 3 mm, 3 mm
   - **Classification by Angles**: **Equiangular triangle** (all angles are 60°)
   - **Classification by Sides**: **Equilateral triangle** (all sides are equal)

5. **Triangle 5**:
   - **Right angle** (90°)
   - **Sides**: 34 m, 34 m, 48 m
   - **Classification by Angles**: **Right triangle**
   - **Classification by Sides**: **Isosceles triangle** (two sides are equal)

6. **Triangle 6**:
   - **Angles**: 72°, 60°, 48°
   - **Sides**: 20 ft, 17 ft, 22 ft
   - **Classification by Angles**: **Acute triangle** (all angles are less than 90°)
   - **Classification by Sides**: **Scalene triangle** (all sides are different)

7. **Triangle 7**:
   - **Angles**: 60°, 60°, 60°
   - **Classification by Angles**: **Equiangular triangle** (all angles are equal)
   - **Classification by Sides**: **Equilateral triangle** (all sides are equal)

8. **Triangle 8**:
   - **Angle**: 106°
   - **Sides**: 24 in, 15 in, 15 in
   - **Classification by Angles**: **Obtuse triangle** (one angle is greater than 90°)
   - **Classification by Sides**: **Isosceles triangle** (two sides are equal)

Would you like further explanations or have any questions about these classifications?

Here are 5 questions related to this classification:
1. How can you determine the type of triangle based on its angles alone?
2. What are the properties of an isosceles triangle?
3. Why is an equilateral triangle also classified as equiangular?
4. What makes a triangle a right triangle besides having a 90° angle?
5. How do the side lengths relate to the angles in a scalene triangle?

**Tip**: To classify triangles by sides, remember that isosceles triangles have two equal sides, while scalene triangles have no equal sides, and equilateral triangles have all sides equal.

Classify each triangle by its angles and sides based on the given measurements and angle information.

Learn how to classify triangles based on their angles and sides. This example includes acute, obtuse, equilateral, isosceles, scalene, and right triangles. Suitable for middle school students in Grades 6-8.

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