This applet generates a random set of side lengths (each in {1,2,...,7}) and constructs a triangle with those side lengths when possible.

Generate a set of random side lengths. For each set[br]a) Do the side lengths lead to a triangle? Why or why not?[br]b) If the sides do define a triangle, is it equilateral, isosceles, or scalene?[br]c) If the sides do define a triangle, is it right, acute, or obtuse?