Question

Please help me with this problem! I will attach the problem. Thank you very much! :)

Answer 1

I tried 4+3 = 7
7/x = x/3
x^2 = 21
x = sq root of 36
But that's not right!

Answer 2

I meant sq root of 21

Answer 3

Unless it is supposed to be some ratio, I am not sure... but I do not see proper information to assume it is a ratio. =/

Answer 4

I also tried 5+4+3 = 12
12/x = x/3
x=36 squared
but that is 6 and not an answer!
anyone??????

Answer 5

It is not a right triangle as far as I can tell....

Answer 6

so where do I start?

Answer 7

Have you been studying ratios recently or just stuff with triangles?

Answer 8

ratios and geometric means
so it's a ratio??

Answer 9

I do not see how a geometric mean would apply... I think they are trying to say these are similar triangles... but doing it badly. That is a guess on my part, but if you assume that and do a ratio, it does give an answer that rounds to one of those.

Answer 10

not getting it

Answer 11

can you get me started??

Answer 12

The bat that has been haning around pointed out Angle Bisector Theorem... which looks like it may show it would be a ratio. Have you done anything with that?

http://www.cut-the-knot.org/triangle/AngleBisectorTheorem.shtml

Answer 13

Well the line is a bisector of the angle, so we can set it up as follow \[\frac{ x }{ 5 } = \frac{ 3}{ 4 }\]

Answer 14

x/5 = 3/4
x4/4 = 15/4
x=3.75 or 3.8

Answer 15

Rounded to the nearest tenth, 3.8 sounds good to me

Answer 16

Thank you!!

Answer 17

Np know if you have a triangle as such we can see we have the following \[\frac{ CA }{ CD } = \frac{ BA }{ DB }\] this is the angle bisector theorem. It has been quite some time I've used it myself, but you can see it's pretty useful :)