No. A triangle's angles must add up to 180 degrees so it cannot have two right angles.
However, the answer is yes if you are talking about a triangle on the surface of a sphere. In this case the geometry is non-Euclidean. If you are staying with standard Euclidean geometry, then the answer no above is correct.
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Yes, you have two congruent angles in each triangle, one right and one acute so the third angles must be equal also.
Yes, it is called a right isosceles triangle. The the longest side is across from the right angles as usual, and the other two sides are of equal distance
Yes! An isosceles triangle has 2 equal sides and two base angles equal.
Yes you can, by having other two angles of 45 degrees. 45+45+90=180. There are 180 degrees in a triangle.
Yes.