Areas of triangles:

When you chop a rectangle in half, you get two right-angled triangles.
The area of a rectangle
= length × width

If a right-angled triangle is half a rectangle, then it can be said:

The area of a right-angled triangle:
= ½ the area of a rectangle
=½ (length × width)

Of course, not all triangles are right-angled, but we might still want to know its area. The important thing is the right angle.

If we turn a triangle so it is flat on a side, we can call the bottom side the base.
The length from the top of the triangle to the base, so it makes a right angle with the base, is the height.

The base is like the length, and the height is like the width, so we can say:

The area of any triangle:
= ½ (base × height)

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