SOLUTION: Quadrilateral ABCD is a rectangle. If AG = –7j + 7 and DG = 5j + 43, what is BD? Rectangle: imgur.com/AFuzyYy.png

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Question 1118086: Quadrilateral ABCD is a rectangle.
If AG = –7j + 7 and DG = 5j + 43, what is BD?
Rectangle: imgur.com/AFuzyYy.png
Found 2 solutions by ankor@dixie-net.com, Boreal:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Quadrilateral ABCD is a rectangle.
If AG = –7j + 7 and DG = 5j + 43, what is BD?
:
Since it is a rectangle
5j + 43 = -7j + 7
solve for j
5j + 7j = 7 - 43
12j = -36
j = -36/12
j = -3
:
what is BD?
BD = 2(5j + 43)
BD = 10j + 86
Replace j with -3
BD = 10(-3) + 86
BD = -30 + 86
BD = 56

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Diagonals bisect each other, so length of AC is -14j+14 and BD has to be 10j+43
Both diagonals are equal, so -14j+14=10j+86
24j=-72
j=-3
AC is 56
BD is 56 ANSWER