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Symbolicly find the tensions of all of the ropes.

We know that the tension of rope 3 would equal mass times gravity. t3=mg

BUT, i was wondering if this would be a true statement. t1=66.6% of t3 and t2 would be 33.3% of t3?

I got these numbers just from doing a simple ratio assuming that the angle of rope 1 and 2 are proportional to the tension of rope3, but i do not know how to prove if that is right or wrong. Which is why I am posting this, my teacher had a different answer for what he was looking for, but i was curious just to see if that is a true statement about t1 and t2.