Question

Example 10 : If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a
parallelogram, taken in order, find the value of p. in mid point formula​

Answer 1

Answer:

we know that diagonals of a parallelogram bisect each other

so the coordinates of the mid point AC=coordinayes of mid point

[6+9/2, 1+4/2]=[8+p/2, 2+3/2]

{15/2, 5/2]=[8+p/2, 5/2]

15/2=8+p/2

p=7