Scalene triangle - a triangle where none of the sides are the same length.
Isosceles triangle - a triangle where two sides of the triangle, or the legs, are the same length
Equilateral triangle - a triangle with all side lengths congruent and all included angles congruent
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A scalene triangle has three unequal sides, an equilateral triangle has three equal sides. An isosceles triangle has two equal sides. Because with a scalene triangle only two sides are equal but with a equilateral triangle that would mean all sides are equal. (scalene = 2 sides & equilateral = all sides equal)
an isosceles triangle is a triangle that means two of the triangles sides have the same length and two angles are the same
An isosceles triangle has two equal sides (and a third that is a different measure). It can also be identified by the fact that it has two equal angles and the third is different. The above also mean that two of the three altitudes, medians, etc are equal while the third is different. If the third measure is not different the triangle is equilateral.
Isosceles with a Clasical Greek mathematician, who theorised over triangles. Today in his memory we have the Isosceles Triangle, which is a triangle of two equal lengths and two equal angles.
If you mean an isosceles triangle then no because all triangles have no diagonals