127k views
5 votes
In parallelogram LMNO, LM = 4.12, MN = 4, LN = 5, and OM = 6.4. Diagonals and intersect at point R. What is the length of OR?

A.2
B.2.06
C.2.5
D.3.2
E.12.8

User Jayesef
by
7.3k points

2 Answers

3 votes

Answer: D. 3.2


Explanation:

Given : In parallelogram LMNO,

LM = 4.12, MN = 4, LN = 5, and OM = 6.4.

Diagonals and intersect at point R.

We know that diagonals of a parallelogram bisect each other.

Since R is the intersection point of both diagonals.

⇒R is the mid point of OM.

Thus OR=
(OM)/(2)


=(6.4)/(2)=3.2

Therefore, OR=3.2

User Michael Dougan
by
7.2k points
3 votes
Pretty much, if its a parallelogram, and they intersect at point R, you take the length of OM (6.4) and divide it in half to get the answer D) 3.2
User Pery Mimon
by
8.0k points