To know what kind of triangle is it. use the pythagorean theorem: A^2 + B^2 = C^2, where C is the longest side of the triangle if it satisfies the equation then it is a right triangle if it does not then A^2 + B^2 > C^2 so it is acute triangle if A^2 + B^2 < C^2 it is obtuse triangle
18^2 + 13^2 ? 27^2 324 + 169 ? 729 493 < 729 so it is obtuse triangle
The cup is rotated 180 degrees clockwise. Therefore, I assume the rotation is about the center of the bottom of the cup. Also, only the cup is rotated, not the saucer (although this makes no difference in this problem).
The result is that the handle will end up on the left side. The cup will still be right side up.