Math Is Fun Forum

Avva

Member

Registered: 2009-02-25

Posts: 41

smilarity

In the quadrilateral ABCD , ‹B is bisected by a bisector intersecting  AC(line segment) at E. F is the point of intersection of AD(line segment) with the ray EF drawn parallel to CD(line segment). If AB=9cm , BC=6cm , EF=2.4cm< FIND the length of CD(line segment).

plz attach the drawing to your answer.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,420

Re: smilarity

I have attached a drawing....Hope someone asnwers soon!!!

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Avva

Member

Registered: 2009-02-25

Posts: 41

Re: smilarity

TX for ur drawing u forgot just to put parallel & bisector signs.

Last edited by Avva (2009-03-26 03:48:19)

smiyc86

Member

Registered: 2009-03-19

Posts: 78

Re: smilarity

as ganesh has already provided the diagram ... am providing the solution ...

AE/AB = EC/BC .... bisector theorem ...

from this we get ...

EC/AE = 2/3
=> AC/AE = 5/3 ... AC = AE + EC

now, AEF ~ ACD

hence, CD/EF = AC/AE

CD = 4

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I love Maths and Music ... dunno which more

Avva

Member

Registered: 2009-02-25

Posts: 41

Re: smilarity

many TX for u both

smiyc86

Member

Registered: 2009-03-19

Posts: 78

Re: smilarity

pleasure

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I love Maths and Music ... dunno which more

chelsea-ann x

Guest

Re: smilarity

its wel good hard tho i really struggle with maths asit is my worse subject