Question

Let P be the centroid of STU, and let SW be a median of STU. If SW = 6, find SP and PW.

the median SP is ?
The median PW is .​

Answer 1

The length of SP is 2

The length of PW is 4

Explanation:

Firstly, we need an image that represents the information given

Mathematically, we have that the centroid is at a position of 2/3 along the median

This means that the centroid will divide the median into two lengths with the length of one double the length of the other

Mathematically;

SW = SP + PW

where PW is the longer length

The length of PW will be;

2/3 * 6 = 4

The length of SP will be 6-4 = 2