Geometry Practice Test 7

Question : 13 of 28

Marks: +1, -0

Find the distance between the centroid of a triangle and origin if vertices of the triangle lies on (3, 7), (1, 3) and (5, 2).

Solution:

Co-ordinates of centroid =

({3+1+5}/3,{7+3+2}/3)

(9/3,{12}/3)

= (3, 4)
Distance from the origin =

√{3^2+4^2}

√{9+16}

√{25}

= 5 units

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