Question

Need help with these Geometry questions. Help with just one is fine.
http://i.imgur.com/M9N1JBC.png

Answer 1

4) is the geometri mean theorem
5) side splitter theorem
6) is the angle bisector theorem

check them out

Answer 2

Thanks going to check them out.

Answer 3

notice the geometric mean theorem
the 3 triangles made are simillar
two inner ones and the bigger one

Answer 4

Just to see if I'm on the right track is y in 4) 5.8?

Answer 5

well.... notice the smaller triangles using proportions would give you \(\bf \cfrac{y}{9}=\cfrac{3}{y}\implies y=?\)

Answer 6

I did that and got \[\frac{ y }{ 3 }=\frac{ 9 }{ y }\rightarrow 27=y^2\rightarrow 5.8\approx y\]

Answer 7

Would i then find for x?

Answer 8

hmmm I gather you mean 5.2 since is 5.196152

Answer 9

you do the same, you'd use proportions from the triangles to get "x"

Answer 10

Yeah I meant 5.2, don't know where I got 5.8 from...

Answer 11

anyhow... have to dash for now =)

the side splitter theorem means
the line cutting the triangle and parallel to the base
creates 2 similar triangles.... the inner small one, and the original bigger one

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the angle bisector theorem simply says that
if the line drawn froim the vertex bisects the angle
it also creates 2 simliar triangles, the 2 inner ones