How to calculate an equilateral triangle
By definition, an equilateral triangle is one in which all sides have the same length, that is, all sides are equal. As is the case with any triangle or geometric shape, a simple formula can be used to calculate the perimeter of an equilateral triangle.
On the other hand, in order to apply the standard formula to determine the area of a triangle, if it is equilateral you will need to measure its height manually. Keep reading because in this article of .com we explain how to calculate an equilateral triangle .
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Calculating the perimeter is easy from an equilateral triangle is easy, you just have to add the length of its sides. But considering that an equilateral triangle has all sides equal, you can do: Side X 3 = Perimeter
Example:
You have an equilateral triangle whose length of the sides is 5 cm. Then: 5 X 3 = 15 cm Perimeter.
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To calculate the area of an equilateral triangle using the general formula for the area of the triangles, you must first use the Pythagorean theorem a² + b² = c ²
Look at the triangle in the main photo of this article and cut it in the middle from top to bottom. What do you have ?, right, two triangles rectangles with a base of 2.5 cm each.
Now apply the Pythagorean theorem and you will see that a² + 2, 5² = 5²
I keep calculating: a ² + 6.25 = 25 -> a ² = 18.75
Clear the 2 and calculate the square root of 18.75. We find that the height of your equilateral triangle is 4.33. The general rule for calculating the area of a triangle is base * height / 2.
In our example: 1/2 (5 * 4.33) = 10.82 square centimeters
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To check the answer you will use a special formula for the area of an equilateral triangle.
A = (s ² * 1, 73) / 4
- s is the length of the side
- 1.73 is a constant and is always used in this formula. It is the square root of 3, since an equilateral triangle has 3 sides.
Do the calculation with our example and check if the results are correct.
