Answer:
KQ = 11.5 units
Step-by-step explanation:
In triangle ABC,
K is the point of intersection of medians AP and BQ.
Therefore, point K will be the centroid of the triangle.
Property of the centroid of a triangle,
" Centroid of a triangle divides the median in the ratio of 2 : 1"
Ratio of BK and KQ = 2 : 1
[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]
[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]
[tex]KQ = \frac{23}{2}[/tex]
KQ = 11.5
Therefore, length of segment KQ = 11.5 units
