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.

$2x=8$

$x=\dfrac{8}{2}$

$x=4$

$PS=4$

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).