Area of triangle base 10 height 6

Step by step

The question

Question: find the area of a triangle with base 10 and height 6.

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 10 long and 6 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.

Now put the numbers in: b = 10 and h = 6.

10 times 6 is 60.

That is the whole rectangle.

Half of 60 means 60 divided by 2.

That is 30.

So the area is 30 square units.

Let's look back.

First: half of a rectangle.

Last: use the rule.