In △JKL, ​ MO=23 in. ​ What is the length of KO¯¯¯¯¯¯?

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1 Answer
Nov 15, 2017

#KO=46# in.

Explanation:

Given that #M,N and P# are the midpoints of sides #JL,JK and LN#, respectively, #=> JP, KM and NL# are the medians of #DeltaJKL#. The three medians meet at #O, => O# is the centroid of the triangle.
Recall that the medians divide each other in the ratio of #2:1# at the centroid,
#=> KO:OM=JO:OP=LO:ON=2:1#,
given that #OM=23# in.,
#=> KO=2xxOM=2xx23=46# in.