Question

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

Answer 1

Answer:

p=7

Step-by-step explanation:

According to properties of parallelogram, the diagonals bisect each other.

∴midpoint of AC=midpoint of BD

⇒((6+9)/2, (4+1)/2)=((p+8)/2, (3+4)/2)

By solving the ordered pair,

⇒15/2=(8+p)/2

⇒p=7

Answer 2

Hey friend..

Here is your answer...

ABCD is a parallelogram then,

AB=CD

(8-6)^2 +(2-1)^2 = (P-9)^2 +(3-4)^2

On solving the above eq.

We get,

P^2 - 18p +77 =0

Solve this eq. And obtain the value of P

HOPE that it will help you