Question

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1. qc = 6. find ql.

Explanation:

Step1: Recall the centroid property

The centroid of a triangle divides each median in a ratio of \(2:1\). Here, \(C\) is the centroid and \(BL\) is a median. So \(QC = 2\times CL\).

Step2: Find \(CL\)

Given \(QC = 6\), then \(CL=\frac{QC}{2}=\frac{6}{2} = 3\).

Step3: Calculate \(QL\)

Since \(QL=QC + CL\), substituting the values: \(QL=6 + 3=9\).

Answer:

\(9\)