Question

(3,5),(-5,-4),(7,10)...these points form a parallelogram. find the 4th side.​

Answer 1

Let the parallelogram be ABCD.

Let the coordinate of the 4thside be D=xy

As we know that the diagonals of the parallelogram bisect each other

hence, the midpoint of BD= midpoint of AC ........eq..1

by using the midpoint formula

(x¹+x²/2),(y¹+y²/2)

(-5+x/2),(-4-y/2=5,15 ..using eq.1

-5+x/2 =5 and -4-y/2=7.5

hope further you can solve

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