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  1. An isosceles triangle is defined as a triangle with 2 congruent sides and angles. An equilateral triangle is defined as a triangle with 3 congruent sides and angles. Thus, by their definitions, an equilateral triangle is always also an isosceles triangle.
    www.math.net/isosceles-triangle
    An isosceles triangle is a triangle that has (at least) two equal side lengths. If all three side lengths are equal, the triangle is also equilateral.
    brilliant.org/wiki/properties-of-isosceles-triangles/
    An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.
    mathworld.wolfram.com/IsoscelesTriangle.html
    If all three sides of a triangle are congruent (the same length), it is called an equilateral triangle. Equi - refers to things that are the “same” or “equal”, and lateral means “sided.” Think of it as a “same-sided” triangle. If just two of a triangle’s sides are congruent, then it is called an isosceles triangle.
    www.homeschoolmath.net/teaching/g/equilateral_i…
    An equilateral triangle is that triangle that has 3 equal sides. However, an isosceles triangle is one with only 2 equal sides. Thus, every equilateral triangle is or can be isosceles, but not every isosceles triangle is equilateral.
    www.vedantu.com/maths/isosceles-triangle-equilat…
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