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QUESTION IMAGE

if ( tr = 7 ), find ( nt ).

Question

if ( tr = 7 ), find ( nt ).

Explanation:

Step1: Use the centroid theorem

The centroid theorem states that the centroid divides each median into a ratio of \(2:1\). Here, \(T\) is the centroid of \(\triangle ONP\) and \(NR\) is a median. So \(NT = 2TR\).

Step2: Substitute the value of \(TR\)

Given \(TR = 7\). Substitute into \(NT = 2TR\), we get \(NT=2\times7\).

Answer:

\(14\)