Finding lengths of legs. (Centroid)

[joshuasz]

Geometry Question
I need to find the lengths of these legs. I only have a couple of measurements though and I can't find help anywhere else. It'd be nice to have the answers within 16 hours before my test, but even if after then, I'd still want to know! Thanks!



-josh

 

[stapel]

I need to find the lengths of these legs. I only have a couple of measurements though and I can't find help anywhere else.

On what basis have you equated the lengths of FM and EM? The relationship between the median, the centroid, and the lengths into which the centroid splits the median is 2:1.

(6) That is to say, since EM = 6, then ML (being the shorter portion of the median) is (1/2)(6) = 3. Then what is the length of LE?

(5) Using this information, what do you know about the lengths of FM and MJ? Using the given value for the length of DM, what then must be the length of MK? Once you have both lengths, you can add to find the length of DK.

(7) They've given you expressions for both of the pieces of FJ. Add to get the expression for the entire length.

If you get stuck, please reply with a clear listing of your efforts so far. Thank you!