In figure, Point G is the point of concurrence of the medians of $△$ PQR. If GT = 2.5, find the lengths of PG and PT.

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Solution

Given G is the point of concurrence of the medians of $△$ PQR.
The point of concurrence of medians of a triangle divides each median in the ratio 2 : 1

PG : GT = 2 : 1
$\frac{P G}{G T} = \frac{2}{1} \frac{P G}{2.5} = \frac{2}{1}$ [Given GT = 2.5]
PG = 2.5 $\times$ 2 = 5
PT = PG +GT [P-G-T]
PT = 5 + 2.5 = 7.5
Hence length of PG and PT are 5 and 7.5 units respectively.

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In figure, Point G is the point of concurrence of the medians of △PQR. If GT = 2.5, find the lengths of PG and PT.

In figure, Point G is the point of concurrence of the medians of $△$ PQR. If GT = 2.5, find the lengths of PG and PT.