Question

If (7, 3), (6,1), (8,2) and (p,4) are the vertices of a parallelogram taken in order then the value of p is

Answer 1

from thos we can come to know that p=9

Answer 2

The value of p is 9.

Step-by-step explanation:

Since we have given that

If (7, 3), (6,1), (8,2) and (p,4) are the vertices of a parallelogram

So A(7,3)

B(6,1)

C(8,2)

D(p,4)

So, Mid point of AC = Mid point of BD

So, it becomes,

$\dfrac{7+8}{2}=\dfrac{p+6}{2}\\\\15=p+6\\\\15-6=p\\\\9=p$

Hence, the value of p is 9.

# learn more:

If the points A(6,1) , B(8,2) ,C(9,4) , D(p,3) are the vertices of a parallelogram, taken in order find the value of p

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