Question

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

Answer 1

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 ne 2x and x.

Therefore, The value of x is 2.5

Now, PG = 2x

= 2 (2.5)

= 5 units

Now, PT = PG + GT

= 5 + 2.5

= 7.5 units

Hence, the length of PG and GT is 5 and 7.5 units respectively.

Answer 2

Answer:

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 ne 2x and x.

Therefore, The value of x is 2.5

Now, PG = 2x

= 2 (2.5)

= 5 units

Now, PT = PG + GT

= 5 + 2.5

= 7.5 units

Hence, the length of PG and GT is 5 and 7.5 units respectively.