Math, asked by sethithopia, 1 year ago

three vertices of parallelogram are (1,2) (2,4) (3,7) find fourth vertex

Answers

Answered by abhi178
35
we know, diagonals of parallelogram is intersected at midpoint of it.
that is, midpoint of each diagonal is same .
          see attachement
o is the intersection point of two diagonals
Let A (1,2) ,B(2,4), C(3,7) and D(x,y)
then, for x- co-ordinate
(1+3)/2 = (2+x)/4
4 = 2 + x
x = 2

for y- co-ordinate
(2+7)/2 = (4 +y)/2
9 = 4 + y
y = 5

hence, fourth vertex is D(x,y) = (2,5)
Attachments:
Similar questions