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Triangle Classification Worksheet
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Triangle Classification Worksheet
Help the design crew classify triangles for a new skate park. Classify by sides (equilateral, isosceles or scalene) and by angles (acute, right-angled or obtuse). A triangle’s angles always add to 180°. Some triangles can have one name from each group.
Decode the design notes
Read each clue carefully. Side lengths are in centimetres.
1.The crew needs a triangle with all three sides equal. Which classification by sides fits the design?
- Scalene
- Isosceles
- Equilateral
- Obtuse
2.A triangular sign has side lengths 7 cm, 7 cm and 10 cm. Classify it by its side lengths.
3.One corner of a triangular ramp is exactly 90°. What is the angle classification of the triangle?
- Acute
- Right-angled
- Obtuse
- Equilateral
4.A triangle design has angles of 35°, 65° and 80°. Classify it by its angles.
5.A triangle has angles of 42° and 58°. Work out its third angle and classify the triangle by its angles.
Classify the park triangles
Use both kinds of classification where asked. Side-length clues and angle clues describe the same triangle.
6.A support frame has sides 5 cm, 5 cm and 5 cm, with angles 60°, 60° and 60°. Classify it by sides and by angles.
7.A frame has sides 6 cm, 8 cm and 10 cm, and angles 90°, approximately 36.87° and approximately 53.13°. Classify it by sides and by angles.
8.Every equilateral triangle is also acute. Decide whether this statement is true or false, and give a reason.
TrueFalse
9.Could a triangle be both isosceles and right-angled? Explain how, or explain why not.
10.Draw a scalene, obtuse triangle for a new park feature. Mark one angle greater than 90° and make all three sides different lengths.
2 printable pages
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Page 2
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