Answer :
Final answer:
To find the value of pn, subtract qp from qn. Given that qn=21, we can calculate the value of qp by dividing qn by two-thirds. The value of pn is 7.
Explanation:
To find the value of pn, we need to calculate the value of qp. Given that qn=21, we can use the information that qn=qp+pn. Substituting the given value, we have 21=qp+pn. Since we want to know the value of pn, we can rearrange the equation to solve for pn. pn=21-qp.
Now, to find the value of qp, we need to use the information that p is the centroid of lmn. In a triangle, the centroid is a point that is two-thirds of the distance from each vertex to the midpoint of the opposite side. So, qp is two-thirds of qn. qp=(2/3)*21=14.
Using the value of qp, we can substitute it back into the equation for pn. pn=21-14=7.
