Q4 of 45 Page 38

In figure 3.38, point G is the point of concurrence of the medians of ΔPQR. If GT = 2.5, find the lengths of PG and PT.

Given, in ΔPQR


GT = 2.5


The point of concurrence of medians of a triangle divides each median in


the ratio 2 : 1.


Since, PT is the median.


∴ PG: GT = 2: 1




⇒ PG = 2 × 2.5 = 5


Therefore, length of PG = 5


Length of PT = PG + GT


= 5 + 2.5


Length of PT = 7.5


More from this chapter

All 45 →
2

The length of hypotenuse of a right-angled triangle is 15. Find the length of median of its hypotenuse.

 3

In ΔPQR, ∠Q =900, PQ = 12, QR = 5 and QS is a median. Find t(QS).

 1

In figure 3.48, point A is on the bisector of ∠XYZ. If AX = 2cm then find AZ.

 2

In figure 3.49, ∠RST = 56°, seg PT ⊥ ray ST, seg PT ⊥ ray ST, seg PR ⊥ ray SR and PR ≅ seg PT Find the measure of ∠RSP. State the reason for your answer.