Question

3. If the points A (6, 1), B (8, 2), C (9, 4)
and D (p, 3) are the vertices of a
parallelogram, find the value of p​

Answer 1

Answer:

p=11 or 7

Step-by-step explanation:

As we know opposite sides of parallelogram are equal, so

AB =CD

now By distance formula,

√(8-6)^2+(2-1)^2=√(p-9)^2+(3-4)^2

4+1=p^2+81-18p+1

p^2-18p+77=0

p^2-11p-7p+77=0

p(p-11) -7(p-11) =0

(p-11)(p-7) =0

so p=11 or 7.

FOLLOW ME AND MARK BRANIEST