February 12th, 2018, 10:47 PM  #1 
Newbie Joined: Feb 2018 From: Afghanistan Posts: 10 Thanks: 0  Parallelogram
ABCD is a parallelogram and A(b,a) ,B(a,3 ),C(5,a), D(2,a) are given find the ratio of a/b Please do step by step 
February 12th, 2018, 11:16 PM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,512 Thanks: 506 Math Focus: Yet to find out. 
Can you post your working?
Last edited by skipjack; February 13th, 2018 at 12:30 AM. 
February 13th, 2018, 12:30 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,574 Thanks: 1485 
AC has midpoint (5/2  b/2, 0) and BD has midpoint (a/2  1, a/2  3/2). As a parallelogram's diagonals bisect each other, these points must be the same. What does that imply about the values of a and b? 

Tags 
analytic geometry, parallelogram 
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