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Triangle Classification Worksheet
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Triangle Classification Worksheet
An art gallery is planning a display of triangular panels. Classify triangles by their sides and angles, then use the properties to check the designs. A triangle may have one classification by sides and another by angles.
Identify the triangle
Use the side lengths and angle measures given in each question.
1.A display panel has side lengths 6 cm, 6 cm and 6 cm. Classify it by its sides.
- Equilateral
- Isosceles
- Scalene
2.Finn sketches a triangle with angles 38°, 62° and 80°. Classify it by its angles.
3.A metal frame has side lengths 5 cm, 7 cm and 9 cm. What is its classification by sides?
- Equilateral
- Isosceles
- Scalene
4.A triangular sign has angles 90°, 35° and 55°. Classify it by its angles and give the feature that proves your answer.
Combine and reason
Triangles can be classified by sides and by angles at the same time.
5.Tane checks a panel with side lengths 8 cm, 8 cm and 11 cm. Classify it by sides.
- Equilateral
- Isosceles
- Scalene
6.A triangle has three equal angles. Find the size of each angle. Show how you know, using the fact that angles in a triangle total 180°.
7.Aisha says, “A triangle can have two obtuse angles.” Is she correct? Explain using the angle sum of a triangle.
8.A triangle has angles 45°, 45° and 90°. Give its classification by angles and state what you can conclude about its sides.
9.Which set of angles could belong to an obtuse triangle? Choose one and explain why the other two sets cannot.
- 40°, 60°, 80°
- 100°, 40°, 40°
- 95°, 90°, −5°
10.A triangle has side lengths 7 cm, 10 cm and 7 cm, and angle measures approximately 44.4°, 91.2° and 44.4°. Classify it by sides and by angles. Explain how the measurements support both classifications.
11.The gallery needs a scalene, acute triangle. Which option meets both requirements?
- Sides 4 cm, 4 cm, 6 cm; angles approximately 41.4°, 41.4°, 97.2°
- Sides 5 cm, 6 cm, 7 cm; angles approximately 44.4°, 57.1°, 78.5°
- Sides 3 cm, 3 cm, 3 cm; angles 60°, 60°, 60°
12.Design a triangle for the gallery that is both isosceles and obtuse. Write three angle measures that work and identify the equal angles.
3 printable pages
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