Igor's Test #1
A triangle is a figure consisting of three line segments, each of whose endpoints are connected.[1] This forms a polygon with three sides and three angles. The terminology for categorizing triangles is more than two thousand years old, having been defined in Book One of Euclid's Elements.[2] The names used for modern classification are either a direct transliteration of Euclid's Greek or their Latin translations.
Triangles have many types based on the length of the sides and the angles. A triangle whose sides are all the same length is an equilateral triangle,[3] a triangle with two sides having the same length is an isosceles triangle,[4][a] and a triangle with three different-length sides is a scalene triangle.[7] A triangle in which one of the angles is a right angle is a right triangle, a triangle in which all of its angles are less than that angle is an acute triangle, and a triangle in which one of it angles is greater than that angle is an obtuse triangle.[8] These definitions date back at least to Euclid.[9]
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Scalene triangle