Question

guided practice 4
in △lmn, py = 7. find lp.

Explanation:

Step1: Recall the centroid theorem

The centroid of a triangle divides each median into a ratio of \(2:1\). That is, if \(P\) is the centroid of \(\triangle LMN\) and \(MY\) is a median, then \(LP = 2PY\).

Step2: Substitute the given value of \(PY\)

Given \(PY = 7\). Using the relationship \(LP = 2PY\), we substitute \(PY = 7\) into the formula. So \(LP=2\times7\).

Answer:

\(14\)