In the figure below, the length of GE is 97 square root of 3 units and the length of BG is 149 Units. What is the length of AC

Question

anonymous · Answer

attachment

anonymous · Answer

A

anonymous · Answer

B

anonymous · Answer

C)97
D)194

anonymous · Answer

So AG=97, and AB=54, so AC=54 sqrt(2)

anonymous · Answer

Justification for my answer above:  The ratio between the the two legs of a 30-60-90 triangle are 1/sqrt(3), so giving the length of AG.  The given length of the base gives us the size of AB, and the known ratio of a 45-45-90 triangle give us the dimension of AC.

anonymous · Answer

OOPS!!  Bad arithmetic!!!

So AG=97, and AB=52, so AC=52 sqrt(2)

anonymous · Answer

Sorry, all.  Lousy attention to detail.

anonymous · Answer

I don't think so; 97 plus 51 is 148, not 149.

anonymous · Answer

I saw your picture, and it's still wrong.  We both made arithmetic errors on our first try.  I was too high, you are too low.