This equilateral triangle area calculator takes the figures you already have and applies the relationship behind equilateral triangle area calculations for you, giving height h and area (a) from side a.
What Is the Equilateral Triangle Area Calculator?
The equilateral triangle area calculator works through side a to give you height h and area (a).
It is aimed at the case where you know the method but not the arithmetic: schoolwork, a quick check on a worked example, or a figure that needs to be right first time.
How the Equilateral Triangle Area Works
Each step is applied in order and depends only on the values before it, which makes it possible to follow the calculation rather than take it on trust.
If you are working through the same problem by hand afterwards, compare the intermediate values. That is where a mistake usually shows itself.
Checking Your Own Working
Round sensibly as you go and keep the full precision in the calculator. Rounding too early is the most common way of getting a right method to give a wrong answer.
Where a result should be a whole number, such as a count, check it against the constraint that produced it. A fraction of a person is a sign that something upstream needs revisiting.
A Worked Example
Working through an example, with side a set to 10, the calculator returns height h of 8.6603, and area (a) of 43.3013. Substitute your own figures and the same steps produce the same kind of answer.
Frequently Asked Questions
What do I need to work out height h?
Enter side a. The calculator then works through the relationship and reports height h and area (a).
What does the equilateral triangle area actually calculate?
It takes side a and converts them into height h and area (a) using the standard relationship for this problem. Each step is applied in turn, so every output is traceable back to the numbers you typed in.
How should I enter side a?
Use the value you actually have, in the unit shown next to the field. Enter every value in the same unit system. The calculator assumes the figures you supply are consistent, so it cannot correct a mistake that happens before the calculation starts.
Does anything you type get stored?
No. The whole calculation runs inside your browser, and nothing you enter is uploaded, logged or sent anywhere.
Is the answer exact?
It is as exact as the formula and the inputs allow. The method itself is the standard one for this problem, so the only sources of error are the figures you enter and the precision you ask for.