Question

For triangle PQS, centroid T is along median QW. If TW =10, find QT and QW​

Answer 1

Answer:

QT = 20 and QW = 30

Step-by-step explanation:

For triangle Δ PQR, the centroid is T and it is on one median is QW.

We know that the medians intersect each other at centroid and the centroid divides the medians in 2 : 1 ratio.

So, we can write $\frac{TW}{QT} = \frac{1}{2}$

⇒ QT = 2 × TW = 2 × 10 = 20 (Answer)

{Since the length TW is given to be 10}

Now, QW = QT + TW = 20 + 10 = 30 (Answer)