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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