No. The sum of the measures of the angles of a triangle must equal 180 degrees. 45+35+60=140, so these angles can't form a triangle.
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A 90 degree angle and 2 acute angles will form a right angle triangle.
Yes, they would have to be the two sides that form the 90 degree angle.
Equilateral triangles are triengles where each side is the same length. A right triangle only requires that 2 of the sides form a right angle (90 degree angle) to eachother, but the sides do not have to all be of equal length.
Any triangle with one angle in the range (90, 180) degrees and the other two angles adding up to its supplement will form an obtuse triangle.
If you mean lengths of 33 by 56 by 65 then the given dimensions will form a right angle triangle.