Points o, a, b lie on the same line. oa = 12 cm, ob = 9 cm. find the distance between the midpoints of segments oa and ob if: point o doesn’t lie on the segment ab .

Short 1.5
Givens
OA = 12
OB = 9
O does not lie on AB

Argument
The order that these lines must be in is OBA. O is on your left, B is in the middle and A is on your right. 

Mark your distances as follows.
OB = 9
BA = 3

Mark the midpoint of OA = M1
Mark the midpoint of OB = M2

M1 = 12 / 2 = 6 so M1 is 6 units from O
M2 = 9/2 = 4.5

The distance between the two midpoints is 6 - 4.5 = 1.5
Answer M1 - M2  = 1.5 <<<<

Nice problem: Thanks for posting.

1.5 cm

Step-by-step explanation:

In the figure attached,

OA = 12 cm and OB = 9 cm.

Let the mid points of OA and OB are P and Q.

Then we have to find the distance between P and Q.

Since P is the midpoint of OA so OP = = 6 cm.

and Q is the midpoint of OB so OQ = = 4.5 cm

Now PQ = OP - OQ

              = 6 - 4.5

              = 1.5 cm.

Distance between the midpoints of segments OA and OB is 1.5 cm.

A. -10 is the value of x