Question

Please help me do it i can't seem to get it

Answer 1

Given:

In triangle XYZ, P is the centroid of triangle XYZ, YP = 8, QP = 5, YZ = 10.

To find:

The measure of median YS.

Solution:

We know that a centroid divides a median in 2:1.

P is the centroid and YS is the median. So,

`YP:PS=2:1`

Let the measure of YP and PS are 2x and x.

It is given that the measure of YP is 8.

`2x=8`

`x=(8)/(2)`

`x=4`

`PS=4`

Now, the measure of YS is:

`YS=YP+PS`

`YS=8+4`

`YS=12`

The measure of median YS is 12 units. Therefore, the correct option is (a).