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Give me a sec. Gotta go write this down on paper.

Only one of these is correct yes?

Not 100% sure
but i think it's the last 1

triangles AGD and AHC are similar
so i think its the last option

I proved the other 3 are wrong so.. it has to be the last option

I set it up with sides of 12,8,and 10 on the big triangle

did some trig and got the first 3 wrong so the only 1 i didnt check was the last

ac = 2 ad
so other corresponding sides are in same ratio

Yep, so answer is that: Segment GD is half the length of segment HC.

thanks i had gotten that answer