Find the perimeter of parallelogram ABCD with vertices A(–5, 6), B(2, 6), C(1, –2), and D(8, –2).
I got the answer 28 is this correct?
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OpenStudy (danjs):
what are the lengths of the sides?
OpenStudy (blurryface):
unknown
OpenStudy (danjs):
right, you calculate those..
OpenStudy (blurryface):
I did but I'm not sure if I did it correctly....
OpenStudy (eliesaab):
AB=?
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OpenStudy (blurryface):
9
OpenStudy (eliesaab):
AB=7
OpenStudy (eliesaab):
CD=7
OpenStudy (eliesaab):
AC=?
OpenStudy (blurryface):
5
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OpenStudy (eliesaab):
AC=10
OpenStudy (eliesaab):
10+10 +7+7=34
OpenStudy (blurryface):
ugh I did it wrong could you explain how you got AB and CD
OpenStudy (eliesaab):
A and B have the same y-coordinates
AB=5+2
OpenStudy (eliesaab):
Take the point M=(1,6). The triangle AMC is right triangle
AM=6, MN=8
AC^2= 36+64=100
AC=10
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OpenStudy (eliesaab):
You can also use the distance formula between two point (a,b) and (c,d)
\[
d=\sqrt{(a-c)^2 +(b-d)^2}\]
OpenStudy (eliesaab):
This will allow you to compute all the sides without using my shortcuts
OpenStudy (eliesaab):
Good night. I have to go to sleep
OpenStudy (danjs):
|dw:1476768206181:dw|
OpenStudy (danjs):
The horizontal lengths are easy to see the lengths, from x=-5 to x=2, 7 units
same for the bottom piece, x=8 to x=1 , 7 units
The slanted parts you can make right triangles and use the pythagorean theorem...
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