Question

Look at triangle PQR. Segment PN is 9 inches.



Which statement is true?
Answer
The length of segment PO is 3 inches.
The length of segment PO is 6 inches.
The length of segment RN is 4.5 inches.
The length of segment ON is 4.5 inches.

Answer 1

The length of segment PO is 6 inches.

The medians of a triangle intersect in a point (called the centroid) that divides each median into a 2 to 1 ratio. So, PO/PN = 2/1; Let PO = 2x and ON = x.

Then, PO + ON = 9
2x + x = 9
3x = 9
x = 3
ON = 3 and PO is 6.

Answer 2

Thanks!

Answer 3

Glad to help.