Question

If the points A(6, 1), B(8, 2), C(p, 4) and D(7, 3) are the vertices of a parallelogram,

taken in order, find the value of p.​

Answer 1

Answer:

p=7

Step-by-step explanation:

Consider the given points be

A(6,1),B(8,2),C(9,4) and D(p,3)

Let AC and BD be two diagonals bisect each other.

Let O be the mid point of AC and BD.

Now, first we find that mid point of AC(X−ordinates)

x=26+9=215     ……..   (1)

Now, we find that mid point of BD(X−ordinates)

x=28+p      ………  (2)

By equation (1) and (2) to we get,

28+p=215

8+p=15

p=15−8=7

p=7

Hence it is complete solution.

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