Answer :

PN = 12 when P is the centroid .

What is centroid in triangle ?

The center of the thing is represented by the centroid. The centroid of a triangle is the location where the three medians of the triangle intersect. The junction of all three medians is another way to describe it.

The middle point of a side and the opposing vertex of a triangle are connected by a line known as the median.

Mp, Lp, and NQ are indeed the central lines of a large briangle MNL, according the problem. Particles entersect at point P.

This is referred to as a baryc enter of a friangle.

And has the quality Np= 2PQ, therefore we can obtain it.

NP = 2/3QN

PQ = 1/3QN

NP = 2/3 * 18 = 12

PQ = 1/3 * 18 = 6

When you are aware, the point p is indeed the barycenter of a large triangle, and this is an important trait.

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