Question

geometry help!

Answer 1

G is the center of gravity, AF= ? cm. answer is 3 times square root 37.

Answer 2

The center of gravity is known as the centroid which is the point of concurrency of the three medians of a triangle. Concurrency means that the 3 lines intersect in a common point. The medians are drawn from a vertex of the triangle to the midpoint of the opposite side from the vertex.

Answer 3

yes i know it how i can find AF

Answer 4

Do you know the theorem about how the medians intersect in a triangle, in what ratio?

Answer 5

Yes if GF is x then AG is 2x

Answer 6

then GC=5, BG=9 THEN?

Answer 7

Would you consider drawing the triangle on this post so that we can see it without clicking on a link? Just click on the DRAW tab below and sketch it.

I understand that you want an answer NOW but I don't know it. I have to think.

Answer 8

I am also trying now..

Answer 9

Nice drawing. BC = 8 although that does not appear to help.

Answer 10

any luck?

Answer 11

DE = 4 because it is the segment joining the midpoints of two sides of a triangle and would be parallel to segment BC and have measure half of it.

There is something we are not seeing.

Answer 12

yes. that's right. I tried using sin rule. But I was stuck.

Answer 13

We don't know any angles.

Answer 14

no

Answer 15

Read about Apollonius' Theorem and see if you think it has relevance here:

http://www.gogeometry.com/geometry/median_length_apollonius_theorem.htm

Answer 16

i know the theorem, tried to use it but it didn't help

Answer 17

http://www.wolframalpha.com/input/?i=solve+c%5E2+%2B+b%5E2+%3D+x%5E2%2B4%5E2%2C+8%5E2%2Bb%5E2+%3D+%285%2F2%2B5%29%5E2%2B%28c%2F2%29%5E2%2C++8%5E2+%2B+c%5E2+%3D+%289%2F2%2B9%29%5E2+%2B+%28b%2F2%29%5E2%2Cx%3E0%2Cb%3E0%2Cc%3E0