Yes providing it has two 45 degrees base angles.
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No. An isosceles right triangle is a special case. There are many right triangles which are not isosceles.
Yes
A right angled isosceles triangle!
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A right angle triangle is a triangle with an angle 90 degrees. An isosceles triangle is a triangle with two or more equal angles/ length of lines. An equilateral triangle can also be an isosceles triangle.