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Area of triangles.

Calculate a triangle’s area from its base and perpendicular height.

Numihana · England Year 6

Area of triangles

Practice sheet

Name: ______________
Date: ______________

Calculate a triangle’s area from its base and perpendicular height.

1

Find the area. Base: 30 cm; perpendicular height: 9 cm.

30 × 9 cm · diagram not to scale
Answer: ________________
2

Find the area. Base: 12 cm; perpendicular height: 14 cm.

12 × 14 cm · diagram not to scale
Answer: ________________
3

Find the area. Base: 24 cm; perpendicular height: 20 cm.

24 × 20 cm · diagram not to scale
Answer: ________________
4

Find the area. Base: 20 cm; perpendicular height: 14 cm.

20 × 14 cm · diagram not to scale
Answer: ________________
5

Find the area. Base: 8 cm; perpendicular height: 4 cm.

8 × 4 cm · diagram not to scale
Answer: ________________
6

Find the area. Base: 14 cm; perpendicular height: 3 cm.

14 × 3 cm · diagram not to scale
Answer: ________________
Numihana · England Year 6 · Area of triangles
Numihana · England Year 6

Area of triangles

Answer key

Name: ______________
Date: ______________

Calculate a triangle’s area from its base and perpendicular height.

1

Find the area. Base: 30 cm; perpendicular height: 9 cm.

30 × 9 cm · diagram not to scale
Answer: 135 cm²
2

Find the area. Base: 12 cm; perpendicular height: 14 cm.

12 × 14 cm · diagram not to scale
Answer: 84 cm²
3

Find the area. Base: 24 cm; perpendicular height: 20 cm.

24 × 20 cm · diagram not to scale
Answer: 240 cm²
4

Find the area. Base: 20 cm; perpendicular height: 14 cm.

20 × 14 cm · diagram not to scale
Answer: 140 cm²
5

Find the area. Base: 8 cm; perpendicular height: 4 cm.

8 × 4 cm · diagram not to scale
Answer: 16 cm²
6

Find the area. Base: 14 cm; perpendicular height: 3 cm.

14 × 3 cm · diagram not to scale
Answer: 21 cm²
Numihana · England Year 6 · Area of triangles

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The skill behind this activity

Calculate a triangle’s area from its base and perpendicular height.

Department for Education: mathematics programmes of study ↗

Year 6 → Measurement · Selected statutory skill. Pack 2.2.0 · source checked 2026-10-12.

For teachers and parents

Use the labelled perpendicular height. Rectangles and parallelograms use base × height; a triangle uses half that product.

A common slip

A sloping side is not the perpendicular height. Use square units for area.

Curriculum coverage

Worked example

Find the area. Base: 8 cm; perpendicular height: 16 cm.

8 × 16 cm · diagram not to scale
Answer: 64 cm²

Use the labelled perpendicular height. Rectangles and parallelograms use base × height; a triangle uses half that product.