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Types of triangles

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2D shape and pattern

Types of triangles

Triangles are named by how many of their sides (and angles) are equal.

Equilateral3 equal sidesIsosceles2 equal sidesScaleneno equal sides

The three types

• Equilateral — all 3 sides equal and all 3 angles equal. • Isosceles — exactly 2 sides equal and 2 angles equal. • Scalene — no equal sides and no equal angles.

Worked examples

Equilateral

  1. All three sides are the same length.

Answer: It is an equilateral triangle.

Isosceles

  1. A triangle has sides 5 cm, 5 cm and 8 cm.
  2. Two sides are equal.

Answer: It is an isosceles triangle.

Scalene

  1. A triangle has sides 3 cm, 4 cm and 5 cm.
  2. All three sides are different.

Answer: It is a scalene triangle.

Where you see this in real life

  • Triangles make bridges and roofs strong.
  • Road signs are often equilateral triangles.
  • Spotting different triangles in buildings and patterns.

Key words

Equilateral triangle
A triangle with three equal sides and three equal angles.
Isosceles triangle
A triangle with exactly two equal sides and two equal angles.
Scalene triangle
A triangle with no equal sides and no equal angles.