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Triangle Area Exploration Worksheet
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Triangle Area Exploration Worksheet
Identify triangle properties, use Area = ½ × base × perpendicular height, and explain how a triangle’s area relates to a rectangle. Write area answers in square units.
Triangle properties
Match each triangle description to the correct name.
1.A triangle has a base of 8 cm and a perpendicular height of 5 cm. Which calculation gives its area?
- 8 × 5 = 40 cm²
- ½ × 8 × 5 = 20 cm²
- ½ × (8 + 5) = 6.5 cm²
- 8 + 5 = 13 cm²
Calculate triangle areas
Use the triangle area formula for each one. Show your working and include square units.
2.A right-angled triangle has a base of 9 cm and a perpendicular height of 4 cm. Find its area.
3.A triangle has a base of 14 cm and a perpendicular height of 6 cm. Calculate its area.
4.A triangular flower bed is 7 m across its base and has a perpendicular height of 4 m. What is its area?
5.A triangular panel in a shelter roof has a base of 11 m and a perpendicular height of 8 m. Find the panel’s area.
6.Draw a right-angled triangle with a base of 5 cm and a perpendicular height of 8 cm. Label the base and height, then calculate the area.
Area reasoning and composite shapes
Use the given measurements and relationships to answer each part.
7.A rectangle measures 8 cm by 6 cm. Calculate its area.
8.A diagonal divides an 8 cm by 6 cm rectangle into two equal triangles. What is the area of one triangle?
9.Explain how a rectangle divided by a diagonal into two equal triangles shows why the triangle area formula includes ½.
10.A composite shape consists of a 9 cm by 5 cm rectangle with a triangle on top. The triangle’s base is 9 cm and its perpendicular height is 4 cm. Find the rectangle’s area, the triangle’s area, and the total area.
2 printable pages
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