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

1
by AnoopSen347

what's (8,2),(9,4)

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by AnoopSen347

what's (8,2),(9,4)

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take two points B(8,2) and D(p,3)

distance formula is √(x₂-x₁)²+(y₂-y₁)²

in point B 8 is x₁ and 2 is y₁

in point D p is x₂ and 3 is y₂

Now,

=√(p-3)²+(3-2)²

=√(p-8)²+(1)²

=p-8+1

=p-7

⇒p=7