Question

(6,1) (8,2) (9,4) and (x,3) are the consecutive vertices of a parallelogram. find the value of x .
explain step by step ​

Answer 1

Answer:

7

Step-by-step explanation:

Let ,

A = (6,1) B = (8,2) C =(9,4) D = (x,3)

We know that mid point of diagonals of a parallelogram is equal

i.e Mid point of AC = Mid point of BD

[ (6+9)/2 , (1+4)/2 ] = [ (8+x)/2 , (2+3)/2 ]

[ 15/2 , 5/2 ] = [ (8+x)/2 , 5/2 ]          

⇒ 15/2 = 8+x/2

15 = 8+x

x = 15 - 8

x = 7