Question

In △ M N O , points R and T are the midpoints of their respective sides. MT and OR intersect at point C.

1. 14 units

2. None of the listed answers are correct

3. 15 units

4. 16.5 units

5. 12.5 units

Answer 1

Answer:

  3.  15 units

Step-by-step explanation:

When medians intersect, the point of intersection divides the median into parts in the ratio 2:1. That is ...

  OC : CR = 2 : 1 = 4 units : 2 units . . . . . . OR = (4+2) units = 6 units

  MC : CT = 2 : 1 = 6 units : 3 units . . . . . . MT = (6+3) units = 9 units

The sum of lengths OR + MT is ...

  6 units + 9 units = 15 units