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

Please help me do it i can't seem to get it-example-1
User Alex Lapa
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1 Answer

1 vote

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).

User GianMS
by
8.2k points

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