Area of a triangle is given by \(\frac{1}{2}\times base\times altitude\)

**Area of a Triangle — by Heron’s Formula**

The area of a scalene triangle can be easily evaluated by the formula given by Heron known as Heron’s formula. If a, b, c are length of sides of a triangle, then, from Heron’s formula:

Area of a triangle = s(s − b) (s − a) (s − c), Where s is semi-perimeter i.e. half the perimeter of the triangle. By dividing the quadrilateral into two halves we can easily evaluate the area of a quadrilateral by applying Heron’s Formula using the length of its sides and one of its diagonal.

### Heron’s Formula class 9 Examples

‘