Heron's Formula

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

What is the Heron’s Formula?
The Heron’s Formula is used to determine the area of a triangle when given the lengths of the sides.
Given that the length of the sides of the triangle is a, b and c.
Let s = (a + b + c)/2
Area of triangle = √(s(s-a)(s-b)(s-c))

The following diagram shows the Heron’s formula to find the area of a triangle. Scroll down the page for more examples and solutions on how to use the Heron’s Formula.

Herons Formula

Heron’s Formula
Using Heron’s Formula to determine the area of a triangle while only knowing the lengths of the sides.

Using Heron formula
Find the area of a triangle using Heron formula

Heron’s Formula
This video explains how to determine the area of a triangle given the length of the three sides.

Derivation or Proof of Heron’s Formula
This video will help you to derive Heron’s Formula to find the Area of Oblique Triangles using three sides

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