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Mathematics 12 Online
OpenStudy (anonymous):

A parallelogram has the vertices (0, 3), (3, 0), (0, -3) and (-3, 0). Determine what type of parallelogram. Find the perimeter and area. I've plotted that points and from what I see it's a rhombus. But help with the second part?

OpenStudy (anonymous):

@Hero

hero (hero):

Perimeter means distance around Area of Parallelgram = base times height

OpenStudy (anonymous):

Yes! But it does not give me neither the base nor height, so how do I find them?

hero (hero):

You have to draw diagonals

OpenStudy (anonymous):

Okay, I did that! Now what?

hero (hero):

The length of one diagonal will be the base. The length of the other diagonal will be the height.

OpenStudy (anonymous):

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hero (hero):

If you take advantage of the intersection point of the diagonals, that should give you an easier way to find the lengths of the sides using pythagorean theorem.

OpenStudy (anonymous):

it is also a square diagnal length is 6 length of each side is 3*sqrt(2) and angles are 90

OpenStudy (anonymous):

both diagonals are congruent and do bisect each other

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