4. In figure 3.38, point G is the point of concurrence of the medians of A PQR . If GT = 2.5, find the lengths of PG and PT. ao 90 38 O O
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Step-by-step explanation:
The point of concurrence of medians of a triangle divides each median in the ratio 2:1.
Let us suppose the length of PG and GT be 2x and x.
Therefore, the value of x is 2.5
Now, PG=2x
=2(2.5)
=5units
Now, PT=PG+GT$
=5+2.5
=7.5units
Hence, the length od PG and GT is 5 and 7.5 respectively.
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