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.​

Answer 1

Answer:

Step-by-step explanation:

In parallelogram diagnols bisect each other

therefore midpoint of AC = Midpoint of BD

midpoint of AC =(15/2 , 5/2 )

midpoint of BD = ( [8+p}/2 , 5/2 )

(15/2 , 5/2 ) =  ( [8+p}/2 , 5/2 )

[8+p}/2 =15/2

8+p=15

p=7

Answer 2

Answer:

Hence proved the value of p =7