kittyfluff09
kittyfluff09 kittyfluff09
  • 25-02-2021
  • Mathematics
contestada

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

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

Respuesta :

eudora eudora
  • 02-03-2021

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

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