# Area of Equilateral Triangle

Welcome to our Area of Equilateral Triangle page.

Here you will find support and worked examples to show you how to find the area of an equilateral triangle.

These sheets are aimed at children of a 6th grade and up.

## Area of an Equilateral Triangles

### Area of an Equilateral Triangle Formula

Formula for the Area of an Equilateral Triangle

$A = { \sqrt 3 \over 4} s^2$

where A is the area, and s is the length of the side of the triangle.

### Area of Equilateral Triangles Examples

Example 1) Find the area of the equilateral triangle below. Give your answer to 1dp.

In this example the length of the side is 5 cm.

$So \; A = { \sqrt 3 \over 4} s^2$

$A = { \sqrt 3 \over 4} \times 5^2$

$A = 25 { \sqrt 3 \over 4} = 10.8 cm^2 \; to \; 1dp$

Example 2) What is the area of the yellow triangle below. Give your answer to 2dp.

This is an equilateral triangle with side length 8 inches.

$So \; A = { \sqrt 3 \over 4} s^2$

$A = { \sqrt 3 \over 4} 8^2$

$A = 64 { \sqrt 3 \over 4} = 16 \sqrt 3 = 27.71 in^2 \; to \; 2dp$

This is an equilateral triangle with side length 3.5 m.

$So \; A = { \sqrt 3 \over 4} s^2$

$A = { \sqrt 3 \over 4} (3.5)^2$

$A = 12.25 { \sqrt 3 \over 4} = 5.3 m^2 \; to \; 1dp$

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