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Area of triangle base 8 cm height 5 cm

Step by step, with the reason for every step · Perimeter and area · Geometry

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

Your turn

Try this one yourself, then check:

Find the area.
Show the answer
A = 11 cm2

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