In triangle trs, vz = 6 inches. what is rz? 3 inches 6 inches 12 inches 18 inches

Asked by maham237 @ 23/12/2020 in Mathematics viewed by 466 People

Answered by maham237 @ 23/12/2020

we know that

In a triangle, a median is created by a vertex connected to the midpoint of the opposite side. Where all three lines intersect is the centroid, which is also the "center of mass"

In this problem

In the triangle TRS, the point Z is the centroid

$RV=RZ+VZ$

The property of the centroid states that

$RZ=\frac{2}{3} RV\\ \\ VZ=\frac{1}{3} RV$

Find the value of RV

we have

$VZ=6\ inches$

so

$RV=3VZ=3*6=18\ inches$

Find the value of RZ

$RZ=\frac{2}{3} RV\\ \\RZ= \frac{2}{3}*18=12\ inches$

therefore

the answer is

RZ is $12\ inches$

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