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

Given The C Is The Centroid To TrianglePQR And PC Is 24 Find PY class=

Sagot :

Answer: 36

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:

[tex]PC=\frac{2}{3}PY[/tex]

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

[tex]\frac{2}{3}PY=PC[/tex][tex]\frac{3}{2}\cdot\frac{2}{3}PY=PC\cdot\frac{3}{2}[/tex][tex]PY=(24)\cdot\frac{3}{2}[/tex][tex]PY=36[/tex]

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