PM is the median of ΔPQR. O is the centroid of ΔPQR. If PO = 27 cm, then what is the length of PM?

Explanation

Given: PO = 27 cm Concept Used: The centroid of a triangle divides the medians into segments in the ratio of 2:1, where the centroid is closer to the midpoint of the side (where the median intersects the side). Calculation: The centroid of a triangle divides the medians into segments in the ratio of 2:1, where the centroid is closer to the midpoint of the side (where the median intersects the side). Given that PO = 27 cm, if we let PM = x, 2/3 × x = 27 x = 27 × 3/2 x = 40.5 cm So, the length of PM is 40.5 cm.