Magic Triangle 3X

Place all the numbers from 1 to 6 in the circles along the sides of the triangle (one number per circle), so that three numbers on each side
add up to the same total - a magic sum.

There are four different magic sums that could be reached for this puzzle. All these sums are from 9-12 number range. Can you find all of them?

To place the circles with numbers along the sides of the triangle simply drag and drop them.

In the previous version of this puzzle it was stated that there were only three different magic sums that could be reached for this puzzle. Actually solving this puzzle here at Puzzles.COM we've made a faulty assumption and thus missed the solution for magic sum of 10. That was our mistake. We are sorry about it. Thanks to some messages from our visitors we now improve it. We are very grateful to Jocelyne Yataco, W.N., Peter Fenner and Stephen Merriman with Michelle Curl for pointing out to our mistake. Thank you all!