Yes, they would have to be the two sides that form the 90 degree angle.
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if two sides are of equal length, the a triangle is said to be isoceles.
a triangle..
a 'SCALENE' triangle. ; No equal sides, and no equal angles. An ISOSCELES triangle has two equal sides and two equal angles. An EQUILATERAL tringle has three equal sides and three equal angles all at 60 degrees. A RIGHT ANGLED triangle has one right angle (90 degrees) in it.
A triangle with one right angle and two equal sides is called an isosceles right angled triangle.
It is an isosceles right angle triangle that has two equal sides which has two 45 degree angles and a 90 degree angle.