+0  
 
0
114
5
avatar

ABCD is a parallelogram. Point P on AB divides it in the ratio AP : PB = 3 : 2, and point Q on CD divides it in the ratio CQ : QD = 7 : 3. Let R be the intersection of PQ and AC. Then, find AR:AC.


Can anyone help here?

 

 Aug 2, 2020
 #1
avatar
+1

A square can be used; it's a parallelogram as well.wink

 Aug 3, 2020
 #2
avatar
0

This one's for Alan or heureka...

Guest Aug 4, 2020
 #3
avatar+111547 
+2

Here is the pic

The similar triangles are shown.

So the answer is easy to find.

 

https://www.geogebra.org/classic/v28ktqng

 Aug 4, 2020
 #4
avatar+1421 
+4

Hi, Melody! Please correct your diagram; CQ = 7     and    QD = 3 

Thanks!smiley

 

AR:AC = 6 / 13 

 

I used 10 cm square and the result is the same as Melody'ssmiley

Dragan  Aug 6, 2020
edited by Dragan  Aug 6, 2020
edited by Dragan  Aug 6, 2020
edited by Dragan  Aug 6, 2020
 #5
avatar+111547 
+2

Ok I think it is fixed.

Melody  Aug 6, 2020

10 Online Users