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Question
In the given figure, point G is the point of concurrence of the medians of Δ PQR. If GT = 2.5, find the lengths of PG and PT.
Solution
GT = 2.5 ...(Given)
The point of concurrence of medians of a triangle divides each median in the ratio 2 : 1.
∴ `"PG"/"GT" = 2/1`
∴ `"PG"/2.5 = 2/1`
∴ PG = 2 × 2.5
∴ PG = 5
Now, PT = PG + GT
= 5 + 2.5
∴ PT = 7.5 units
Hence, the length of PG and PT is 5 and 7.5 units respectively.
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