Z is the centroid of A MVI. if MZ= 30, find ZR

Answer:
ZR = 15
Step-by-step explanation:
Centroid of a triangle is a point inside the triangle where all medians meet.
And centroid divides the medians in the ratio of 2:1
By this property,
ZM : ZR = 2 : 1
ZM = 30 [Given]
Let the measure of median MR = a units
Therefore, ZM = [tex](\frac{2}{2+1})(MR)[/tex]
30 = [tex]\frac{2}{3}(a)[/tex]
a = 45 units
Now, ZR = [tex](\frac{1}{2+1})(MR)[/tex]
ZR = [tex](\frac{1}{3})(45)[/tex]
ZR = 15