Question

In figure, point G is the point of concurrence of the medians of triangle PQR if GT=2.5.find the length of PG and PT​

Answer 1

Answer:

PG = 5 units, PT = 7.5 units

Step-by-step explanation:

i)

• In ∆PQR, G is the point of concurrence of the medians. [Given]

• The centroid divides each median in the ratio 2 : 1.  

                            PG : GT = 2 : 1

                  PG/GT = 2/1

                  PG/2.5 = 2/1

                        PG = 2 x 2.5  

                        PG = 5 units

ii. Now, PT = PG + GT [P – G – T]  

               = 5 + 2.5

               = 7.5 units