Question

Three vertices of a parallelogram are (5,1), (1,0), (1,5) . Find the coordinates of fourth vertex. ​

Answer 1

hey mate here is your answer.

hope you got it. ...

Answer 2

Answer:(5,6)

Step-by-step explanation:

We know diagnoles of a parallelogram are equal.(i)

Taking A(5,1); B(1,0); C(1,5) and D(x,y)

Let AC and BD be the diagnols of //gm ABCD.

Finding the midpoint of AC since it is equal to midpoint of BD (from i)

Midpoint of AC = (x1 +x2/2,y1+y2/2)

= (5+1/2 , 1+5/2)

=(3,3)

Midpoint of BD=(x1 +x2/2,y1+y2/2)

(3,3). = (1+x/2 , 0+y/2)

1+x/2=3. 0+y/2 = 3

1+x=6. 0+y =6

X=6-1. Y= 6

5

Therefore D(x,y) = D(5,6)