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Non-regular hexagon side lengths

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First off, this isn't homework of any kind (left school a long time ago). It's not strictly programming related, but I need it to create a bit of art for a game. I'm trying to create, as the title says, something like this -http://img124.exs.cx/img124/8344/tri_small.png. There are two side lengths, and each interior angle is the same. But, I just can't figure out the ratio between the side lengths (they're not exact in the picture). PS - anyone recognise where it's from? :) [sorry, can't get ubbcode to work for pic]

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Without more information, all real ratios of the side lengths would be valid. You'll probably just have to eye-ball it if you need it for art purposes.

edit: we don't use UBB code for images; it's just the normal HTML syntax for images.

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I find it endlessly fascinating that one is able to post for help on something that one's been stuck on for ages, only for it be the simplest/stupidest answer. Not sure how I managed to get my maths so wrong to begin with, but thanks :)

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