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Someone please help me on this. Please help me. Please don’t put a link.

Someone please help me on this. Please help me. Please don’t put a link.-example-1

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Given:

The figure of a triangle LMN.

P is the centroid of triangle LMN.

To find:

14. Find the value of PN if QN=30.

15. Find the value of PN if QN=9.

Solution:

We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.

Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.

14. We have QN=30.


PN=(2)/(2+1)QN


PN=(2)/(3)(30)


PN=2(10)


PN=20

Therefore, the value of PN is 20 when QN=30.

15. We have QN=9.


PN=(2)/(2+1)QN


PN=(2)/(3)(9)


PN=2(3)


PN=6

Therefore, the value of PN is 6 when QN=9.

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