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Equilateral Triangle Area Calculator

s

(length of the side of the equilateral triangle)

units

Area (A)

square units

CopyView Calculation

How to use this Equilateral Triangle Area Calculator 🤔

1. Enter ✎ value for length of the side of the equilateral triangle (s).
2. As soon as you enter the required input value(s), the Equilateral Triangle Area is calculated immediately, and displaed in the output section (present under input section).

Formula

To calculate the equilateral triangle area, you can use the following formula.

\(A = \) \( \frac{\sqrt{ 3 }}{4} s^2 \)

where

Calculation

Once you enter the input values in the calculator, the output parameters are calculated.

Examples

The following examples cover how to calcualte the Area when length of the side of the equilateral triangle is given.

1. What is the Area of Equilateral Triangle whose length of the side of the equilateral triangle is 10 units?

Answer

Given:

• length of the side of the equilateral triangle, s = 10 units

The formula to find the Area of a Equilateral Triangle is:

A = \( \frac{\sqrt{ 3 }}{4} s^2 \)

Substitute given values in the above formula.

A = \( \frac{\sqrt{3}}{4} \times10^2 \)

A = 43.3 square units

∴ Area, A = 43.3 square units

2. What is the Area of Equilateral Triangle whose length of the side of the equilateral triangle is 1 units?

Answer

Given:

• length of the side of the equilateral triangle, s = 1 units

The formula to find the Area of a Equilateral Triangle is:

A = \( \frac{\sqrt{ 3 }}{4} s^2 \)

Substitute given values in the above formula.

A = \( \frac{\sqrt{3}}{4} \times1^2 \)

A = 0.43 square units

∴ Area, A = 0.43 square units

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  "examples": [
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  "type": "Calculate",
  "title": "Equilateral Triangle Area",
  "category": "Geometry",
  "shape": "Equilateral Triangle",
  "formula_mathjax": "\\( \\frac{\\sqrt{ 3 }}{4} s^2 \\)",
  "formula_mathjax_sub": "\\( \\frac{\\sqrt{3}}{4} \\times s ^2 \\)",
  "formula": " Math.sqrt( 3 ) / 4 * s * s ",
  "op_label": "Area",
  "output_unit": "square units",
  "description": "The Equilateral Triangle Area calculator calculates the area of an Equilateral Triangle by taking its side length as input.",
  "explanation": "The area of an equilateral triangle is the area spread within the three sides of the triangle.",
  "examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Area when length of the side of the equilateral triangle is given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Area of Equilateral Triangle whose length of the side of the equilateral triangle is 10 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of the side of the equilateral triangle, s = 10 units</ul><p>The formula to find the Area of a Equilateral Triangle is:</p><p class=\"tabspace\">A = \\( \\frac{\\sqrt{ 3 }}{4} s^2 \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( \\frac{\\sqrt{3}}{4} \\times10^2 \\)</p><p class=\"tabspace\">A = 43.3 square units</p><p class=\"tabspace answer\">∴ Area, A = 43.3 square units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Area of Equilateral Triangle whose length of the side of the equilateral triangle is 1 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of the side of the equilateral triangle, s = 1 units</ul><p>The formula to find the Area of a Equilateral Triangle is:</p><p class=\"tabspace\">A = \\( \\frac{\\sqrt{ 3 }}{4} s^2 \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( \\frac{\\sqrt{3}}{4} \\times1^2 \\)</p><p class=\"tabspace\">A = 0.43 square units</p><p class=\"tabspace answer\">∴ Area, A = 0.43 square units</p></div>",
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