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: Po
int O doesn’t lie on the segment AB .
2 answers:
Short Answer: 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.
Answer:
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.
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