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EQUILATERAL triangle. Two sides the same length , and two angles equal is ISOSCELES Triangle A triangle with a Right-Angle is a RIGHT -ANGLED Triangle No equal sides/angles is a SCALENE triangle.
A triangle with two equal sides and two equal angles is called an isosceles triangle.
This are called congruent angles. For example, In an isosceles triangle, the two angles which are opposite to the sides that have the same length, have the same measurements. They are called the base angles of the triangle. When each of them is 45 degree, the triangle is also a right triangle, since the other angle is 90 degree.
A Right- Angled triangle. Also Equilatertal ; the three sides are of equal length, and the three angles are all 60 degrees. Isosceles ; two sides of equal lnegth, and two angles of equal size. Scalene ; all three sides are unequal in length, and all three angles are different. In all cases the sum on the three interior angles equals 180 degrees.