Amedian of a triangle is a line segment joining a vertex to the midpoint of the opposite side. find the lengths of the median of the triangle with vertices a(1,2,3), b(-2,0,5), and c(4,1,5)

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Step-by-step explanation:

The given points are A(1,2,3), B(-2,0,5) and C(4,1,5). The triangle is represented in the attach file where the three possible median are length AE, BF, and CD. We determine the coordinate of point D,E and F using the midpoint equation which is for any point A(x,y,z) and point B(a,b,c), the midpoint D is determine by

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Hence going by the above formula we determine the coordinate of point D,E and F

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point E

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Point F

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To determine the length of each median line we use the formula for distance between two points which is express as

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Using the above formula we determine the length of line AE,BF and CD.

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For point BF

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For point CD

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b

step-by-step explanation:

the word superfluous means unnecessary