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Triangle Classification Worksheet

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Triangle Classification Worksheet worksheet preview

Triangle Classification Worksheet

Various triangles illustration

📐 Part 1: Triangle Classification by Sides and Angles

1. Classify each triangle by its sides. Choose the correct answer:

Triangle A: All three sides are equal (5cm each)

Equilateral

Isosceles

Scalene

2. A triangle has angles measuring 45°, 45°, and 90°. Classify this triangle by its angles:

Acute triangle

Right triangle

Obtuse triangle

3. Which properties can a triangle have? (Check all that apply)

Two equal sides and one right angle

All angles greater than 90°

Three equal sides and three equal angles

All angles less than 90°

4. A triangle has sides measuring 8cm, 8cm, and 12cm. What type of triangle is this?

Equilateral

Isosceles

Scalene

📏 Part 2: Measuring and Drawing

5. Use your protractor to measure the angles in the triangle below, then classify it:

Angle measurements: _____ °, _____ °, _____ °

Classification by angles: _________________

6. Draw and label the following triangles in the space provided:

a) An equilateral triangle with sides of 4cm each

b) A right-angled triangle with one angle of 90°

7. Complete the classification table:
Triangle Type Key Property
Equilateral _________________
Isosceles _________________
Scalene _________________
Right triangle _________________

✏️ Part 3: Reasoning and Explanation

8. Explain why a triangle cannot have two obtuse angles. Use mathematical reasoning:
9. Sarah says: "My triangle has three equal sides, so all its angles must be 60° each." Is Sarah correct? Explain your reasoning:
10. Look at this triangle: sides measuring 7cm, 10cm, and 7cm with angles of 55°, 70°, and 55°.

a) Classification by sides: _________________

b) Classification by angles: _________________

c) Explain how you determined your answers:

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