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the top angle the angle formed by the two congruent sides
The right angle is formed by the intersection of the triangle's "legs".
An isosceles triangle is a triangle that has two sides of equal length. A right triangle has an interior angle of 90 degrees. A right isosceles triangle has both characteristics. The 90 degree angle will be the angle formed by the sides of equal length.
It is an isosceles right angle triangle that has two equal sides which has two 45 degree angles and a 90 degree angle.
No angle is defined, only that two sides are the same length. Also, the two base angles are congruent.