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Are isosceles triangle sometimes an equilateral triangle
An isosceles triangle is never an equilateral triangle because the former has only 2 equal sides while the latter has 3 equal sides.
Never but an isosceles triangle can sometimes be a right angle triangle
It can be scalene or isosceles but not equilateral.
An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com