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We have a right triangle ABC where the legs AB and BC have lengths 6 and 3*sqrt(2) respectively. Medians AM and CN meet at point P What is the length of CP?

 Nov 29, 2020
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We have a right triangle ABC where the legs AB and BC have lengths 6 and 3*sqrt(2) respectively. Medians AM and CN meet at point P What is the length of CP?

 

If AB = 6 then BN = 3

 

CN = sqrt(BC2 + BN2)   ==>   CN = √27

 

CP = 2√27 / 3   = 2√3

 Nov 29, 2020

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