Edge Length of Equilateral Triangle given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
le = sqrt((4*A)/(sqrt(3)))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Edge Length of Equilateral Triangle - (Measured in Meter) - The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.
Area of Equilateral Triangle - (Measured in Square Meter) - The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.
STEP 1: Convert Input(s) to Base Unit
Area of Equilateral Triangle: 30 Square Meter --> 30 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = sqrt((4*A)/(sqrt(3))) --> sqrt((4*30)/(sqrt(3)))
Evaluating ... ...
le = 8.32358290057564
STEP 3: Convert Result to Output's Unit
8.32358290057564 Meter --> No Conversion Required
FINAL ANSWER
8.32358290057564 8.323583 Meter <-- Edge Length of Equilateral Triangle
(Calculation completed in 00.004 seconds)

Credits

Created by Bhavya Mutyala
Osmania University (OU), Hyderabad
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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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9 Edge Length of Equilateral Triangle Calculators

Edge Length of Equilateral Triangle given Area
Go Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
Edge Length of Equilateral Triangle given Length of Angle Bisector
Go Edge Length of Equilateral Triangle = (2*Length of Angle Bisector of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle given Exradius
Go Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3))
Edge Length of Equilateral Triangle given Circumradius
Go Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
Edge Length of Equilateral Triangle given Inradius
Go Edge Length of Equilateral Triangle = 2*sqrt(3)*Inradius of Equilateral Triangle
Edge Length of Equilateral Triangle given Height
Go Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle given Median
Go Edge Length of Equilateral Triangle = (2*Median of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle given Semiperimeter
Go Edge Length of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/3
Edge Length of Equilateral Triangle given Perimeter
Go Edge Length of Equilateral Triangle = Perimeter of Equilateral Triangle/3

Edge Length of Equilateral Triangle given Area Formula

Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
le = sqrt((4*A)/(sqrt(3)))

What is Equilateral Triangle?

In geometry, an Equilateral Triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

How to Calculate Edge Length of Equilateral Triangle given Area?

Edge Length of Equilateral Triangle given Area calculator uses Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3))) to calculate the Edge Length of Equilateral Triangle, The Edge Length of Equilateral Triangle given Area formula is defined as the length of the side of the Equilateral triangle, calculated using the area. Edge Length of Equilateral Triangle is denoted by le symbol.

How to calculate Edge Length of Equilateral Triangle given Area using this online calculator? To use this online calculator for Edge Length of Equilateral Triangle given Area, enter Area of Equilateral Triangle (A) and hit the calculate button. Here is how the Edge Length of Equilateral Triangle given Area calculation can be explained with given input values -> 8.323583 = sqrt((4*30)/(sqrt(3))).

FAQ

What is Edge Length of Equilateral Triangle given Area?
The Edge Length of Equilateral Triangle given Area formula is defined as the length of the side of the Equilateral triangle, calculated using the area and is represented as le = sqrt((4*A)/(sqrt(3))) or Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3))). The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.
How to calculate Edge Length of Equilateral Triangle given Area?
The Edge Length of Equilateral Triangle given Area formula is defined as the length of the side of the Equilateral triangle, calculated using the area is calculated using Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3))). To calculate Edge Length of Equilateral Triangle given Area, you need Area of Equilateral Triangle (A). With our tool, you need to enter the respective value for Area of Equilateral Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Edge Length of Equilateral Triangle?
In this formula, Edge Length of Equilateral Triangle uses Area of Equilateral Triangle. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
  • Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
  • Edge Length of Equilateral Triangle = (2*Length of Angle Bisector of Equilateral Triangle)/sqrt(3)
  • Edge Length of Equilateral Triangle = Perimeter of Equilateral Triangle/3
  • Edge Length of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/3
  • Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3))
  • Edge Length of Equilateral Triangle = 2*sqrt(3)*Inradius of Equilateral Triangle
  • Edge Length of Equilateral Triangle = (2*Median of Equilateral Triangle)/sqrt(3)
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