Question

In triangle HIJ, N is the centroid. If HK = 10, find KI.

Answer 1

Given:

In triangle HIJ, N is the centroid and $HK=10$.

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.

$KI=HK$

$KI=10$

Therefore, the value of KI is 10 units.