Sounds like a bergstrom rig. Swept back spreaders, I imagine? If so, the idea is that the triangle is from the aft stays, a smaller main, and a larger fore. They're safe but you can only put the main out so far else it hits the spreaders. I've never heard of them being "unsafe"; the problems are more from the balance of the rig and the inability to push the boom out.
I think they're fractional sloops, as well. Head
of the jib
goes ~75% of the way up.
Either way, good on you for riding lasers and getting something small and practical for your family
. If you can move a laser around you're fine :-)