We want to find the area of an equilateral triangle just knowing a single side we call , that means without finding with the Pythagorean theorem.
We know the area of any triangle: -
Now, write in terms of ( for any given ):
Now replace with the result in the formula:
And you will never need to find , only to know just .
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
I found out that this was in brilliant, geometry section, premium version.
I wonder when are they going to make this available only for premium😅.