Answer:
The length of JF = 3
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔHIJ,
- Point K is the centroid of the triangle.
We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median JF is split into two parts such that the longer part JK is 2 times the length of the smaller part KF.
In other words,
JF = KF + JK
Given KF = 1
Also, the longer part JK is 2 times the length of the smaller part KF.
i.e.
JK = 2 KF
JK = 2(1) ∵ KF = 1
JK = 2
Thus, substituting KF = 1 and JK = 2 in JF = KF + JK
JF = KF + JK
JF = 1 + 2
JF = 3
Therefore, the length of JF = 3
