A triangle has corners at #(1 ,9 )#, #(7 ,8 )#, and #(4 ,3 )#. How far is the triangle's centroid from the origin?

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Answer 1 · 2018-01-30T10:29:29

Distance of centroid from origin #color(green)(OG = 7.7746)#

Coordinates of centroid is obtained using the formula

#G = (A_x+B_x+C_x)/3, (A_y+B_y+C_y)/3#

#G = (1+7+4)/3, (9+8+3)/3#

#G (4, 20/3)#

We have to find OG where O is the origin with coordinates (0,0)

Using distance formula,

#OG = sqrt((4-0)^2 + ((20/3)-0)^2) ~~ 7.7746 #