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Triangle Types and Angles

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Triangle Types and Angles

Help the surf lifesaving club check triangle designs for a beach-safety flag. Use side lengths and angle facts to solve each task. Remember: the angles inside every triangle add to 180°.

Identify the triangles

Classify each triangle by its sides: three equal sides, exactly two equal sides or no equal sides.

1.A flag panel has side lengths 8 cm, 8 cm and 8 cm. What type of triangle is it by its sides?
  • Equilateral
  • Isosceles
  • Scalene
2.A second panel has side lengths 6 cm, 6 cm and 9 cm. Name its type by its sides, and state which sides are equal.
3.A third panel has side lengths 5 cm, 7 cm and 8 cm. What type is it by its sides? Explain briefly.

Work out the angles

Use the triangle angle sum to find missing angles. Show your calculation where asked.

4.Two angles in a triangular flag are 54° and 68°. Calculate the third angle.
5.A triangle with three equal sides has three equal angles. What is the size of each angle?
6.An isosceles triangle has two equal angles of 47° each. Find its third angle.
7.A triangle has angles 28° and 112°. Which description fits its angles?
  • Acute: all angles are less than 90°
  • Right: one angle is exactly 90°
  • Obtuse: one angle is greater than 90°
8.Can a triangle have angles 90°, 60° and 40°? Answer yes or no and use the angle-sum rule to justify your decision.
TrueFalse

Design a safety flag

Create a flag pattern for the club using triangles. Include a triangle with three equal sides and an isosceles triangle; label their side lengths and angles. The drawings do not need to be to scale.

9.Write one sentence explaining how you know your triangle with three equal sides is correctly labelled.

2 printable pages

  • Triangle Types and Angles, page 1 of 2: Identify the triangles, Work out the angles

    Page 1

  • Triangle Types and Angles, page 2 of 2: Design a safety flag

    Page 2

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