# Square Feet of a Triangle Calculator

Created by Rijk de Wet
Reviewed by Krishna Nelaturu
Last updated: Aug 30, 2022

Welcome to the square feet of a triangle calculator, where we'll explain all there is to know about how to calculate the square feet of a triangle. Let's get to the point and calculate some triangles' square feet!

## How do I use the square feet of a triangle calculator?

Using the square feet of a triangle calculator is easy! Follow these steps:

1. Select the triangle type from the drop-down list. You can find the square feet of triangles of these types:
• base and height;
• Three sides (SSS);
• Side-angle-side (SAS); and
• Angle-side-angle (ASA).
2. Enter the measurements of the triangle type you've selected. Refer to the schematic at the top of the calculator if you're unsure which measurements correspond to which fields.
3. Let the square feet of a triangle calculator automatically find the area of the triangle.

If you want to learn how to find the square feet of a triangle by yourself, then keep scrolling!

## How do I calculate the square feet of a triangle?

It depends on what measurements of the triangle you already know. Most commonly, you'd have one of these sets of measurements at your disposal:

• Base and height;
• Three sides (also called SSS);
• Side-angle-side (SAS); or
• Angle-side-angle (ASA).

Let's look at each triangle type and see how we can calculate its area, $A$.

### Base and height

The base and height triangle area formula simply uses the base $b$ and the height $h$:

$\footnotesize A = \frac{1}{2}×b×h$

### Three sides

When all three sides $a$, $b$, and $c$ are known, we can use Heron's formula,

$\footnotesize A = \sqrt{s(s-a)(s-b)(s-c)}$

where $s$ is the semiperimeter, $s = \tfrac{1}{2}(a+b+c)$.

### Side-angle-side

The SAS triangle has two sides $a$ and $b$ known, as well as the angle $\gamma$ that lies in-between $a$ and $b$. Its area formula is pretty simple:

$\footnotesize A = a \times b \times \sin(\gamma)$

### Angle-side-angle

The ASA triangle has two angles $\gamma$ and $\beta$ known, as well as the side $a$ in-between these angles. You can work out its area with:

$\footnotesize A = \frac{a^2 \times \sin(\beta) \times \sin(\gamma)}{2 \times \sin(\beta + \gamma)}$

If the square feet of a triangle calculator isn't covering as much area as you wanted, perhaps you'd be interested in our other triangle area calculators:

## FAQ

### What is the square feet area of a triangle with sides of 6 feet?

Its area is 15.59 ft². Since we know that all three sides are 6 feet long, we can use Heron's formula to work out its area in square feet.

1. Calculate the perimeter:
p = 3 × (6 ft) = 18 ft
2. Divide the perimeter in half to get the semiperimeter:
s = ½p = 9 ft
3. Use Heron's formula:
A = √[ s(s−a)(s−b)(s−c) ]
A = √[ 9 × (9 − 6)³ ]
A = √[ 9 × (3)³ ]
A = 15.59 ft²

### How do I determine the square feet of scalene triangle?

If you know it's a scalene triangle, then chances are you already know its side lengths. In that case, you can use Heron's formula to determine the triangle's area:

A = √[ s(s−a)(s−b)(s−c) ]

Here, s is the semiperimeter, which is half of the triangle's perimeter.

Rijk de Wet
Given
base and height
Base
in
Height
in
Area
in²
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