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avatar+891 

thanks for the help :)

 Jul 26, 2020
 #1
avatar+26703 
+1

First find  SN length     pythag theorem    4^4  + SN^2 = 22^2      SN = 21.6333   or 2 sqrt117

 

UM goes up  sqrt117  units  (Pythag theorem again with a line dropped from M)    for a horizontal distance of 6 units

sqrt117/6 = NX/4       yields NX = 2/3 sqrt 117         sooooo   SX =  2 sqrt 117  -  2/3 sqrt 117 =  4/3 sqrt(117)  units    (I think ! cheeky )

 

Not positive about this answer !

 Jul 26, 2020
 #2
avatar+1326 
+1

Important: The Median Theorem states that the medians of a triangle intersect at a point called the centroid that is two-thirds of the distance from the vertices to the midpoint of the opposite sides.

 

ST2 - TN2 = SN2                

 

SX / NX = 2 / 1

 

SX = 2/3 * SN  smiley

 Jul 26, 2020
edited by Dragan  Jul 26, 2020
edited by Dragan  Jul 26, 2020
edited by Dragan  Jul 26, 2020
edited by Dragan  Jul 26, 2020
 #3
avatar+26703 
+2

Well...thanx!   That makes my answer a lot more confident !     ~EP

ElectricPavlov  Jul 26, 2020

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