isosceles triangle
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All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).
It means that if two triangles have two sides with the lengths of the corresponding sides that are equal (congruent) and the angles between between the two sides congruent, then the triangles are congruent (i.e., the three corresponding lengths of sides and three corresponding angles are all congruent). For example, if you know that triangle one has sides of length 1 and 2 and the angle between the two sides is 60 degrees and that triangle two has sides of length 1 and 2 and the angle between the two sides is 60 degrees, this theorem says that the triangles are congruent, so the length of third side of both triangles is the same and the measure of the other two angles in triangle one is the ame as the measure of the other two angles in triangle two.
An isosceles triangle is a shape that has at least 2 sides that are the same length. This forces the angles to be acute.
An isosceles triangle has two sides that are equal in length and thus two equal angles.
an equilateral triangle