Question

Look at the acute triangle JKL. Point O is the centroid and S is the orthocenter.



Which statement is always true about the segments in triangle JKL?

Segment LO is two-thirds the length of segment LN.

Segment LM is the same length as segment LN.

Segment LS is two-thirds the length of segment LM.

Segment LS is the same length as segment SM.

Answer 1

Diag Required @spiderman18

Answer 2

Segment LO is two-thirds the length of segment LN.
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Segment LN is a median as evidenced by the presence of O, the centroid. The centroid is the point of concurrency of the medians of a triangle and divides a given median into a 2:1 ratio. Hence, LO = 2/3 of LN.

Answer 3

@spiderman18 Got it ?

Answer 4

thanks i been having alot of trouble with it yes!