http://www.ck12.org Chapter 5. Relationships with Triangles
From the definition, we need to locate the midpoint ofNM. We were told that the median isLO, which means that it
will connect the vertexLand the midpoint ofNM, to be labeledO. MeasureNMand make a point halfway between
NandM. Then, connectOtoL.
Example B
Find the other two medians of 4 LMN.
Repeat the process from Example A for sidesLNandLM. Be sure to always include the appropriate tick marks to
indicate midpoints.
Example C
I,K, andMare midpoints of the sides of 4 HJL.
a) IfJM=18, findJNandNM.
b) IfHN=14, findNKandHK.
a)JNis two-thirds ofJM. So,JN=^23 · 18 =12.NMis either half of 12, a third of 18 or 18−12.NM=6.
b)HNis two-thirds ofHK. So, 14=^23 ·HKandHK= 14 ·^32 =21.NKis a third of 21, half of 14, or 21−14.
NK=7.
Watch this video for help with the Examples above.