magic triangle

there are a total of 6 solutions to this problem

it is reasonably easy to establish that the three corner numbers sum to 15

there are:
2 with 2 , 5 , 8
2 with 4 , 5 , 6
1 with 3 , 5 , 7
1 with 1 , 5 , 9 in the corner positions

what is interesting is that for just one of these solutions, if you square all the digits the line totals are still all the same (discovered by David Collison)