Step by step
The question
Question: find the area of a triangle with base 8 cm and height 5 cm.
1 Half of a rectangle
The height goes straight up from the base to the top corner.
It makes a right angle with the base.
Draw a box around the triangle: a rectangle 8 cm long and 5 cm high.
The triangle fills exactly half of the box.
2 Use the rule
So the area is half of base times height: A = ½ × b × h.
A = 12 × b × h
Now put the numbers in: b = 8 and h = 5.
A = 12 × 8 × 5
8 times 5 is 40.
That is the whole rectangle.
A = 12 × 40
Half of 40 means 40 divided by 2.
That is 20.
402 = 20
So the area is 20 cm².
A = 20 cm2
Let's look back.
First: half of a rectangle.
Last: use the rule.
Answer
A = 20 cm2