The length of GK of the median of the triangle is: GK = 15 Units
How to find the length of the median of the triangle?
The theorem for the median of triangles states that the medians of a triangle intersect at a point called the centroid, which is two-thirds of the distance from the vertex to the opposite side. The centroid is where the three medians meet.
Now, using the concept of the median of a triangle, we can say that:
GL = ²/₃GK
We are given GL = 10. Thus:
10 = ²/₃ * GK
GK = (10 * 3)/2
GK = 15 Units