internet point of the sides of triangle are 1,4 ,4,8 and 5,6 find the coordinates of vertex of a triangle
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Let, ABC be a triangle with vertices A(x1,y1),B(x2,y2),C(x3,y3) and P(1,4),Q(4,8),R(5,6) be the midpoints of AB,BC,CA respectively.
Then,
1=2x1+x2⇒x1+x2=2⟶(1)4=2y1+y2⇒y1+y2=8⟶(2)4=2x2+x3⇒x2+x3=8⟶(3)8=2y2+y3⇒y
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