Area of a triangle | Maths | Quizalize & Oak National Academy

Starter quiz

What type of shape is this?
- equilateral triangle
- isosceles triangle
- right-angle triangle ✓
- scalene triangle
What type of shape is this?
- equilateral triangle ✓
- isosceles triangle
- right-angle triangle
- scalene triangle
What type of shape is this?
- equilateral triangle
- isosceles triangle
- right-angle triangle
- scalene triangle ✓
What type of shape is this?
- equilateral triangle
- isosceles triangle ✓
- right-angle triangle
- scalene triangle
True or false? In order to calculate the area of a shape, you sum the side lengths of the shape.
- True
- False ✓
The angles in a triangle sum to ______
- '180 degrees' ✓

The perpendicular height is the perpendicular distance from the ______ to the opposite vertex.
- 'base' ✓
True or false? You can calculate the area of this triangle.
- True
- False ✓
True or false? You can calculate the area of this triangle.
- True
- False ✓
Calculate the area of a triangle with a base of 8 cm and a perpendicular height of 5 cm (you do not need to give the units).
- '20' ✓
Two identical triangles can always be placed together to create a ______
- 'parallelogram' ✓
Which of these is not a way to calculate the area of this triangle?
- base $\times$ perpendicular height $\times$ 0.2 ✓
- base $\times$ perpendicular height $\times {1 \over 2}$
- $b \times h \times {1 \over 2}$
- $bh \over 2$

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It is possible to find a relationship between triangles and parallelograms.
You can use this relationship to find a formula for the area of a triangle.
It is possible to identify the base and perpendicular height of any triangle even when they are not obvious.
The formula can be used to find the area of any triangle.

Pupils may forget to halve after multiplying the base and the perpendicular height.

The area of a triangle is equal to half the area of the parallelogram formed by two of those triangles.

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.