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solve for x
yeah, theyre secant lines right?
i don't know
here also x= 12*16/10
is it a ratio BECAUSE the lengths of the chords are equal?
@Jhannybean no the lengths of the secants are not equal
then how were you able to create a ratio just based off the lengths w/o knowing the angles?
use similarity of triangles to get the ratio of proportionately
Hmm... the triangles... which triangles...lol
u should join the chords first
as the figure doesn't have the vertices labelled its difficult to explain clearly
this u may get in any standard X book of Indian boards where theorems of circle and chords are there
hm...let me see.
haha i wish they had that here.
|dw:1370418641597:dw| like this?
first one and can u name it please
okay one minute
good and thanks as i am very lazy in typing.. check triangle ACE and triangle DCB
haha no problem. thank you for taking the time to re explain.
sorry @Swilly730 as ur problem has no labels it might happen that i assumed the respective lengths incorrectly hence it may also be given by (x+10)*10 = 12*(16+12) or x= 33.6 -10 =23.6 (as per the rule AC*CB = DC*EC) and thanks to @Jhannybean so correct value of x has to be 23.6
So you've proved the angles are in proportion to the sides... awesome :) and now i understand it a little more. it'll take practice :\
u r welcome
so it's because AC/DC= CE/CB and AC*CB = DC*CE we can say that 10(x+10)=12(16+12) correct?
oh nvm you stated that at the end..
Thank you @matricked :)
if u don't mind may i know in which standard are u in ...