No, all three sides of a right angle triangle cannot be equal.
In a right angled triangle, the side opposite the right angle - the hypotenuse - will always be the longest side of the triangle. The remaining two sides may be equal to each other, but they don't have to be.
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A scalene triangle has no equal sides and no right angle.
It is an isosceles right angle triangle that has two equal sides which has two 45 degree angles and a 90 degree angle.
The dimensions of any right angle triangle other than an isosceles right triangle which has two equal sides.
A triangle with one right angle and two equal sides is called an isosceles right angled 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.