New Batches at TathaGat Delhi!
geometry qstn!!!..help needed??
by arsh arora - Thursday, 31 May 2012, 10:23 PM
 

hello kamal sir,

plz help me wid dis qstn-

D is the mid point of side QR of trngle PQR .O is a point on PD such that PO is 4 times of OD.QO and RO produced meet  PR and PQ in E and F. find PQ if FQ =3 cm???

Re: geometry qstn!!!..help needed??
by TG Team - Friday, 1 June 2012, 09:27 AM
 

Hi Arsh smile

I am just giving a small hint.

Draw a line parallel to RF through D which meets PQ in S (say).

Now, can you see any pairs of similar triangles? Try to equate the ratio of corresponding sides of similar triangles. I hope you can solve it easily now. smile

Kamal Lohia 

Re: geometry qstn!!!..help needed??
by Jayesh Kumar - Saturday, 2 June 2012, 09:17 AM
  Draw DG || RF which meets PQ at G
Now FG=QG as D is the midpoint theorem using midpoint theorem:
read here http://www.quantexpert.co.in/quantnotes/geometry/geometry4.php#intercept-theorem


Now,FG=3/2
Again using similarity of triangles,
PF/FG=4/1=> PF/(3/2)=4=> PF=6
Hence PQ=6+3=9
Re: geometry qstn!!!..help needed??
by Mohit Sharma - Sunday, 3 June 2012, 01:03 PM
  Hi arsh,
I'm getting 9 as ans acc to the approach given by kamal sir. Please confirm the ans.
Re: geometry qstn!!!..help needed??
by Jayesh Kumar - Monday, 4 June 2012, 09:19 AM
  Please suggest how to do this:
ABC is a isosceles triangle where AB = AC = 13 cm. I is the incentre of ABC such that AI = 7cm. Also BC = 20cm. Find ∠ACB?
(a) 40' (b) 45' (c) 50' (d) Data insufficient