Using the formula for the area of a triangle | Maths | Quizalize & Oak National Academy

Starter quiz

The perpendicular ______ is the perpendicular distance from the base to the opposite vertex.
- 'height' ✓
True or false? You can calculate the area of this triangle.
- True ✓
- False
True or false? We can calculate the area of this triangle.
- True
- False ✓
Calculate the area of a triangle with a base of 13 cm and a perpendicular height of 3 cm (you do not need to give the units).
- '19.5 cm<Math>^2</Math>' ✓
Two ______ triangles can always be placed together to create a parallelogram.
- 'identical' ✓
Which of these is the correct way to calculate the area of this triangle?
- base $\times$ perpendicular height $\times$ 0.2
- base $\times$ perpendicular height $\div {1 \over 2}$
- $b \times h \times {1 \over 2}$ ✓
- $bh \times 2$

The base and height of this triangle measure:
- 13.3 mm and 15.3 mm
- 18.3 mm and 15.3 mm ✓
- 13.3 mm and 18.3 mm
- 13.3 mm and 19.3 mm
Select the correct expression for the area of the triangle.
- $ac \over 2$ ✓
- $ab \over 2$
- $bc \over 2$
Select the correct expression for the area of the triangle.
- $28bd \over 2$
- $20bd^{2}t \over 2$
- $35dt \over 2$ ✓
Calculate the missing side length.
- '10 cm' ✓
Calculate the missing side length.
- '3.3 cm' ✓
Calculate the missing side length.
- '2.5 cm' ✓

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Pupils may think the height of the triangle is the slanted height rather than perpendicular.

The base and height to be used must be perpendicular (at a right angle) to each other.

Base - The base is the side which is perpendicular to the height.
Perpendicular height - The perpendicular height is the perpendicular distance from the base to the opposite vertex.