Answer:
Step-by-step explanation:
Given: The distance from the centroid of a triangle to its vertices are ,
, and
.
To Find: Length of shortest median.
Solution:
Consider the figure attached
A centroid is an intersection point of medians of a triangle.
Also,
A centroid divides a median in a ratio of 2:1.
Let G be the centroid, and vertices are A,B and C.
length of
length of
length of
as centrod divides median in ratio of
length of
length of
length of
Hence the shortest median is of length
