Area of a Triangle can be calculated by various methods depending upon the available data of triangle. Different formulas used to calculate area of the triangle are explained here with examples.

**The topic covers area of a triangle when**

### Method 1 Only base and height is given

### Method 2 Two sides and included angle given

### Method 3 All sides are given (Hero’s Formula)

### Method 4 Area of an Equilateral Triangle

## Calculate area of a triangle when only base and height is given.

Area of the Triangle with as base and as height

Height should be perpendicular to base

**Example:** Find the area of a triangle with a base of 8 centimeters and a height of 5 centimetres

*Area =(8.5)\2= 20*

## Calculate area of a triangle when two sides and included angle are given

Suppose sides , and Angle ‘‘ is given. The area is given by:

## Calculate area of a triangle when all sides are given

Let ,, be are the lengths of the sides of a triangle. The area is given by:

where, is the half of perimeter

This is also called as **Hero’s ****formula**

**Example:**Find the area of a triangle with sides 5, 8 and 7 centimeters.

p=(5+8+7)/2=10

## Calculate area of an equilateral triangle

An equilateral triangle have all sides equal and each angle 60°. therefore area of en equilateral triangle have different formula.

where, is length of all side

*Learn how to calculate area of trapezoid*

*Learn how to calculate area of Quadrilateral and other rectangular shapes*