Year 5

Equilateral Triangle

Triangle whose three sides are congruent.
 

Property

A triangle is an equilateral triangle if its three angles are congruent and they all measure 60°.

Formula

The formula to calculate the area A of an equilateral triangle is: [latex]A=\frac{c^{2}}{4}\sqrt{3}[/latex] The formula to calculate the radius r of the circle circumscribed about an equilateral triangle is: [latex]r=\frac{c}{3}\sqrt{3}[/latex] The formula to calculate the radius r of the circle inscribed in an equilateral triangle is: [latex]r=\frac{c}{6}\sqrt{3}[/latex]

Example

This is an equilateral triangle:

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