41.2k views
5 votes
In triangle HIJ, N is the centroid. If HK = 10, find KI.

In triangle HIJ, N is the centroid. If HK = 10, find KI.-example-1
User SheerSt
by
7.1k points

1 Answer

5 votes

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.

User Shaqueena
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.