Heron's formula is used to calculate the area A of a triangle where the lengths of all three sides are given.

Rules:

First calculate s:

s=\frac{1}{2}(a+b+c)

(half the perimeter)
The area of the triangle is:

A=\sqrt{s(s-a)(s-b)(s-c)}

Note: Heron's formula is not used when the height of the triangle is known - too much work!

Interactivity: Heron's formula   Directions for interactivity

 1. Click and drag the sliders to change \triangle ABC .

 2. Click and drag the point C to move and the point a A to rotate.

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Page last modified on September 15, 2008, at 12:01 AM