anonymous
  • anonymous
The two diagonals of parallelogram PQRS are 36 cm and 48 cm long. If the parallelogram is a rhombus, what is the length of side PQ? 12 cm 15 cm 30 cm 42 cm
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
i dont think its that difficult of a question so can someone please help me
anonymous
  • anonymous
Well, you're right, it is simple, not that difficult, but we do have the lengths of diagonals, which is pretty helpful. so take this horrible drawing of a rhombus for example.|dw:1338938102319:dw| So if you look closer, you can see 4 triangles and that the diagonals bisect each other at a perpendicular line. What does that mean? Simple, it means that the angles in a perpendicular line is 90 degrees. So, the 4 triangles in the rhombus are right triangles, which means Pythagorean theorem would apply. First of all, lets get are measurements. All you need to do is divide the measurements you got, 36 and 48 and divide by 2. Because, remember, the lines were bisected, cut in two, so the measurements would be halved. You should get 24 and 18. Apply the Pythagorean theorem and you should have your answer.
anonymous
  • anonymous
24^2 + 18^2 = 900^2 \[\sqrt{900} = 30\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.