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Mathematics 24 Online
OpenStudy (anonymous):

In a circle, chords AB and CD intersect at R. If AR: RB=1: 4 and CR: RD=4: 9, compute the ratio AB: CD.

OpenStudy (vishweshshrimali5):

Use intersecting chord theorem.

OpenStudy (anonymous):

What is it , we haven't learnt it

OpenStudy (vishweshshrimali5):

Wait may be we won't need it

OpenStudy (vishweshshrimali5):

Let me draw a figure. Or will you be so good to do that ?

OpenStudy (anonymous):

i will do it

OpenStudy (anonymous):

|dw:1404726509572:dw|

OpenStudy (vishweshshrimali5):

Great

OpenStudy (vishweshshrimali5):

Now can you compute AB:CD ?

OpenStudy (vishweshshrimali5):

Okay you must use intersecting chord theorem

OpenStudy (anonymous):

I don't know the theorem , what is iy

OpenStudy (vishweshshrimali5):

Okay it basically says that: AR.RB = CR. RD

OpenStudy (vishweshshrimali5):

*For the given figure ^^

OpenStudy (vishweshshrimali5):

Assume AR = x and CR = 4y

OpenStudy (vishweshshrimali5):

Now can you find out the answer ?

OpenStudy (anonymous):

4x^2=36y^2

OpenStudy (vishweshshrimali5):

Perfect

OpenStudy (anonymous):

I am getting 15/13

OpenStudy (vishweshshrimali5):

Perfectly correct

OpenStudy (vishweshshrimali5):

Well, there you go. Now I have to go. So, bye bye

OpenStudy (anonymous):

Good Byew :)

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