The two diagonals of parallelogram PQRS are 32 cm and 60 cm long. If the parallelogram is a rhombus, what is the length of side PQ?

Question

anonymous · Answer

@BTaylor @Aqua666  anyone help! please!

anonymous · Answer

Use the formula:
$$A = 1/2d _{1}d _{2}$$

anonymous · Answer

A = 1/2(d1)(d2)
A = 1/2(32(60)
A = 32(30)
A = 960

anonymous · Answer

so new formula will be A=1/2 32*60?

anonymous · Answer

Yes.

btaylor · Answer

The diagonals of a rhombus are perpendicular, so think of a triangle that looks like this:
|dw:1339108049133:dw|
The diagonals would be bisected into sides of 16 and 30 cm.
So, with the pythagorean theorem, 16^2 + 30^2 = PQ^2
so PQ = 34.

anonymous · Answer

oh ok! thanx so much! you didnt have to answer it for me! I like people giving me the formulas (helping me out) and I have to figure out the answer, that way I am also putting a little bit of effort! YOU GUYS ARE AMAZING! THNX SO MUCH!

anonymous · Answer

You're welcome :)

anonymous · Answer

WAIT, 960 or 34?

anonymous · Answer

actually @BTaylor was with the right answer ;)