In parallelogram LMNO, LM=4.12, MN=4,LN=5, and OM=6.4. diagonals LN and OM intersect at point R. What is the length of OR?
a) 2
b) 2.06
c) 2.5
d) 3.2
e)12.8
we have given LM=4.12 MN=4 LN=5 OM=6.4 As diagonals LN and OM intersect at point R. so we divide LN by 2 we get 5/2=2.5 now using Pythagorean theorem OR^2= 4^2-2.5^2 OR^2=9.75 taking square root OR=3.12 so the right answer is d) 3.2