**Area of a
Triangle 1.**

The formula for the area of a triangle is A = (1/2)bh where
b is the base and h is the
height.

The justification above used the fact that we drew the
triangle
so that the "highest point" was over the "base". This holds,
in
particular, for any right triangle with any side viewed as the
base. If the altitude does not intersect the base, we can
show
that the result still holds by representing the area of the
triangle as
the difference of areas of two right triangles, as shown below.

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Rectangle : Parallelogram : Triangle
1. : Triangle
2. : Trapezoid 1.
: Trapezoid 2.
: Circle
1. : Circle
2.

Animations by
Bettina Richmond and Tom Richmond.

Tom.Richmond@wku.edu

Updated May 22, 2008.