Two vertices of a triangle whose vertices are (1,2),(3,5). If the centroid of the triangle is at the origin, Find the co-ordinates of the third vertex (-4,-7)
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the third coordinate is (-4,-7)
sol:- let the co-ordinate of the third vertex is (x,y)
given that:- the centroid is (0,0)
now, using centroid formula
{(a+b+c÷3,m+n+o÷3)= centroid of triangle here a,b,c are x-co-ordinate of vertex of triangle and m,n,o are the y-co-ordinate of vertex of triangle}
(1+3+x÷3=0), (2+5+y÷3=0)
from here we will get x=-4 and y=-7
sol:- let the co-ordinate of the third vertex is (x,y)
given that:- the centroid is (0,0)
now, using centroid formula
{(a+b+c÷3,m+n+o÷3)= centroid of triangle here a,b,c are x-co-ordinate of vertex of triangle and m,n,o are the y-co-ordinate of vertex of triangle}
(1+3+x÷3=0), (2+5+y÷3=0)
from here we will get x=-4 and y=-7
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