Question

Given the C is the centroid to triangle,PQR and PC is 24 ,find PY

Answer 1

Answer: 36

Step-by-step explanation

• Centroid Theorem of a Triangle,: states that the centroid of a triangle is at 2/3 of the distance from the vertex to the midpoint of the opposite side.

Meaning that:

`PC=(2)/(3)PY`

As we know the measure of PC = 24, then we can solve for PY as follows:

`(2)/(3)PY=PC`
`(3)/(2)\cdot(2)/(3)PY=PC\cdot(3)/(2)`
`PY=(24)\cdot(3)/(2)`
`PY=36`