a congruent triangle?
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A triangle with two congruent sides is an isoscelestriangle. But an equilateral triangle has two congruent sides. (It actually has three congruent sides.) And isosceles triangle is generally described as a triangle with exactly two congruent sides.
A triangle which has no two sides congruent is called a Scalene Triangle.
An isosceles triangle has two congruent sides.
A scalene triangle has no congruent sides. An equilateral has all equal sides, and an isosceles triangle has two of three sides equal.
The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.