# Area of a scalene triangle

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The area of a scalene triangle can be calculated using Heron’s formula if all its sides (a, b and c) are known.

It could also be calculated if a side (b) is known and the height (h) associated with that side.

Finally, the area of a scalene triangle can also be calculated by trigonometric procedures, provided that three elements of the triangle are known, at least one of which is a side.

Download this calculator to get the results of the formulas on this page. Choose the initial data and enter it in the upper left box. For results, press ENTER.

Note. Courtesy of the author: José María Pareja Marcano. Chemist. Seville, Spain.

## Exercise

Find the area of the scalene triangle given its three sides: a=2 cm, b=4 cm and c=3 cm.

What is its area?

We can calculate the area using Heron’s formula. First, we have to determine the semiperimeter s:

Now, we can apply the Heron’s formula:

So the area is 2.9 cm2.

## Table of Triangle Area Formulas

You can see the table of triangle area formulas . Depending on the type of triangle you may need one element (scalene triangle), two (base and height) or three (as long as they are not the three angles).

AUTHOR: Bernat Requena Serra

YEAR: 2020