Area of a Triangle Calculator

Area of a Triangle Formula

The most common method uses the triangle's base and height. The formula is simple and direct:

Area = 1/2 × base × height

This formula applies to all types of triangles, as long as the 'height' is measured perpendicular to the 'base'.

Step-by-Step Example (Base & Height)

Let's use a concrete example:

• Imagine a triangle with a base of 10 cm.
• Its perpendicular height is 5 cm.
• Plug the values into the formula: Area = 1/2 × 10 cm × 5 cm.
• The result is 25 cm².

Area using Heron's Formula (3 Sides)

When you know the lengths of all three sides (a, b, and c), you can use Heron's formula:

1. First, calculate the semi-perimeter (s): s = (a + b + c) / 2
2. Then, calculate the area: Area = √[s(s-a)(s-b)(s-c)]