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Triangle Area Practice
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Triangle Area Practice
Use Area = ½ × base × perpendicular height. Show your working for calculation questions and include the correct square units.
Formula and calculations
Find areas using the triangle area formula.
1.Which expression gives the area of a triangle with base b and perpendicular height h?
- b × h
- ½ × b × h
- 2 × b × h
- b + h
2.A triangle has a base of 9 cm and a perpendicular height of 4 cm. Calculate its area in square centimetres.
3.A triangle has a base of 14 cm and a perpendicular height of 3 cm. What is its area?
- 17 cm²
- 21 cm²
- 42 cm²
- 84 cm²
4.Work out the area of a triangle with base 8.4 cm and perpendicular height 5 cm. Give your answer to the nearest whole square centimetre.
Measurement and understanding
Use perpendicular height and reverse the area formula when needed.
5.Match each quantity to what it represents in the triangle area formula.
- b
- h
- ½
- cm²
- The length of the chosen side
- A unit used to measure area
- The perpendicular distance from the base to the opposite vertex
- The factor that halves the base-by-height product
6.A triangle's area is 30 cm² and its base is 12 cm. Find its perpendicular height.
7.True or false: If a triangle's base is tripled and its perpendicular height stays unchanged, its area is tripled. Explain using the area formula.
8.Why must the height used in the triangle area formula meet the base at a right angle?
Problem solving
Apply the formula in different situations and units.
9.A triangular flower bed has a base of 13.6 m and a perpendicular height of 7.5 m. Find its area to the nearest square metre.
10.A triangular sail has an area of 48 m² and a perpendicular height of 8 m. Its base is lengthened by 2 m while the height stays the same. What is the sail's new area?
11.A triangular sign has a base of 18 cm and an area of 81 cm². What is its perpendicular height?
3 printable pages
Page 1
Page 2
Page 3
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