Given:
In triangle HIJ, N is the centroid and [tex]HK=10[/tex].
To find:
The value of KI.
Solution:
In a triangle, the centroid of the triangle is the intersection of its medians.
Median of a triangle from a vertex divides the opposite side into two equal parts.
It is given that, N is the centroid. It means JK, HL and IM are the medians of the triangle HIJ.
Since JK is a median of the triangle HIJ, therefore it divides the opposite side IH into two equal parts.
[tex]KI=HK[/tex]
[tex]KI=10[/tex]
Therefore, the value of KI is 10 units.
