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If you mean the vertex where the two equal sides of an isosceles triangle intersect, the side is the base.
An isoscles triangle is a triangle which has two of its sides equal in length. Yes, absolutely a right triangle can also be an isoscles triangle.
Isoscles Triangle
Yes
Any of the above: you can have a right-angled isosceles (not isoscles!) triangle, or an obtuse-angled one or an acute angled-one.