Question

Find JK if KF= 1 *No A-D options(write the answer)

Answer 1

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