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Example:Heron`s Formula

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Explanation:

In an isosceles triangle, two sides are equal in length. An isosceles triangle also has two angles of the same measure; namely, the angles opposite to the two sides of the same length; this fact is the content of the Isosceles triangle theorem. Some mathematicians define an isosceles triangle to have exactly two equal sides, whereas others define an isosceles triangle as one with at least two equal sides.[3] The latter definition would make all equilateral triangles isosceles triangles.

Computing the area of a triangle

### Using Heron's formula

The shape of the triangle is determined by the lengths of the sides alone. Therefore the area can also be derived from the lengths of the sides. By Heron's formula:

where  is the semi perimeter, or half of the triangle's perimeter. (Our solved example in mathguru.com uses this concept)

Three equivalent ways of writing Heron's formula are

http://en.wikipedia.org/wiki/Triangle