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Having all its sides of the same length.

*‘an equilateral triangle’**‘An equilateral triangle of side length one is called a unit triangle.’**‘This is constructed by dividing a line into three equal parts and replacing the middle segment by the other two sides of an equilateral triangle constructed on the middle segment.’**‘Then divide it into three equal pieces, and replace the middle piece with the other two sides of the equilateral triangle that has this middle piece as its base.’**‘One way to draw a Reuleaux triangle is to start with an equilateral triangle, which has three sides of equal length.’**‘But the image of the centroid of the equilateral triangle (which is, of course, the point of intersection of its medians) will be different, as indicated in Figure 6.’**‘The vibration exciter and geophone were placed near the burrow with burrow opening, exciter and geophone occupying the three corners of an equilateral triangle having sides one meter in length.’**‘If each edge has the same length and each face is an equilateral triangle, the result is a regular tetrahedron - one of the Platonic solids.’**‘Now, both the original Asymmetric Propeller and Napoleon's theorem start with three equilateral triangles and discover the fourth one by construction.’**‘As long as the three triangles are equilateral, the ‘midpoint ‘triangle is also equilateral.’’**‘Any given triangle, either imagined or on paper, must either be acute, right, or obtuse, and either scalene, isosceles, or equilateral, and so any given triangle cannot represent all triangles.’**‘The most interesting results show, with a very ingenious proof, that an equilateral triangle has a greater area than any isosceles or scalene triangle with the same perimeter.’**‘The Von Koch snowflake is a fractal which is constructed from an equilateral triangle as follows.’**‘For a given individual, the values of the three coefficients in the ancestry vector q are given by the distances to each of the three sides of the equilateral triangle.’**‘The sides of this equilateral triangle will be five million kilometres long.’**‘As an equilateral triangle rolls over one catenary, it ends up bumping into the next catenary’**‘The theorem thus implies existence of the total of 18 equilateral triangles.’**‘In 1772, J.L. Lagrange identified a periodic orbit in which three masses are at the corners of an equilateral triangle.’**‘An equilateral triangle produces one of the observed crop-circle patterns; three isosceles triangles generate the other crop-circle geometries.’**‘Naturally, the axes form equilateral triangles - 27 of them.’**‘For example, it's possible to slice a square into four angular pieces that can be rearranged into an equilateral triangle.’*

**Origin**

Late 16th century from French équilateral or late Latin aequilateralis, from aequilaterus ‘equal-sided’ (based on Latin latus, later- ‘side’).

**Pronunciation**

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