The question's asking whether a triangle with the given edge lengths can be constructed.
They can all be answered by checking the side lengths given with the triangle inequality, which says that the sum of the two smaller edges of a triangle must add to be larger than the length of the longest edge. In other words, given three numbers
, if
are the smallest of the three, then we have to have
in order for a triangle to exist with these side lengths.
For example:
* 8, 10, and 3 do form a triangle because 8 + 3 = 11 > 10
* 9, 3, and 6 do not form a triangle because 3 + 6 = 9, which is not greater than 9