## equilateral triangle

### A triangle with three congruent sides

An equilateral triangle is a type of triangle in which all three sides are equal in length. Additionally, all three angles in an equilateral triangle measure 60 degrees. It is a regular polygon with three sides and three angles.

Properties of an equilateral triangle:

– All sides are equal in length

– All angles are congruent and equal to 60 degrees

– The altitude, angle bisector, perpendicular bisector, and median from any vertex are the same line

– Its circumcenter, incenter, orthocenter, and centroid all coincide at the same point

– The area of an equilateral triangle can be found with the formula: A = (sqrt(3)/4) x side^2

– The perimeter of an equilateral triangle is three times the length of one side.

One real-life example of an equilateral triangle is the sign for yield on the road, which is in the shape of an equilateral triangle with a white background and a red border.

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