refer to picture please

- anonymous

refer to picture please

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- anonymous

|dw:1370417778526:dw|

- anonymous

solve for x

- Jhannybean

yeah, theyre secant lines right?

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## More answers

- anonymous

i don't know

- anonymous

here also x= 12*16/10

- Jhannybean

is it a ratio BECAUSE the lengths of the chords are equal?

- anonymous

@Jhannybean
no the lengths of the secants are not equal

- Jhannybean

then how were you able to create a ratio just based off the lengths w/o knowing the angles?

- anonymous

use similarity of triangles to get the ratio of proportionately

- Jhannybean

Hmm... the triangles... which triangles...lol

- anonymous

u should join the chords first

- anonymous

as the figure doesn't have the vertices labelled its difficult to explain clearly

- anonymous

this u may get in any standard X book of Indian boards where theorems of circle and chords are there

- Jhannybean

hm...let me see.

- Jhannybean

haha i wish they had that here.

- Jhannybean

|dw:1370418641597:dw| like this?

- anonymous

first one and can u name it please

- Jhannybean

okay one minute

- Jhannybean

|dw:1370418813995:dw|

- anonymous

good and thanks as i am very lazy in typing..
check triangle ACE and triangle DCB

- Jhannybean

haha no problem. thank you for taking the time to re explain.

- anonymous

also

- anonymous

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

- Jhannybean

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 :\

- anonymous

thank you!

- anonymous

u r welcome

- Jhannybean

so it's because AC/DC= CE/CB and AC*CB = DC*CE we can say that
10(x+10)=12(16+12)
correct?

- Jhannybean

oh nvm you stated that at the end..

- Jhannybean

Thank you @matricked :)

- anonymous

welcome dear...

- anonymous

if u don't mind may i know in which standard are u in ...

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