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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