anonymous
  • anonymous
Find the length of a side of rhombus ABCD if AE=6".
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1437452607189:dw|
mathstudent55
  • mathstudent55
What do you know about the diagonals of a rhombus?
anonymous
  • anonymous
AD=12"

Looking for something else?

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

More answers

anonymous
  • anonymous
CB=2x
mathstudent55
  • mathstudent55
Yes, the diagonals of a rhombus bisect each other, but there is another important property of the diagonals of a rhombus.
anonymous
  • anonymous
What is the other property?
mathstudent55
  • mathstudent55
The are perpendicular to each other.
mathstudent55
  • mathstudent55
Also, all sides of a rhombus are congruent. |dw:1437453036000:dw|
mathstudent55
  • mathstudent55
Now you can use the Pythagorean theorem to find x.
anonymous
  • anonymous
a^2+b^2=c^2. So, 2x^2-6^2=x^2.
mathstudent55
  • mathstudent55
Yes, you have the right idea, but you need to be careful when you write it.
mathstudent55
  • mathstudent55
\((2x)^2 - 6^2 = x^2\) The parentheses are important because you will get 4x^2. Without parentheses you have 2x^2 which is incorrect.
mathstudent55
  • mathstudent55
I'd start with \(x^2 + 6^2 = (2x)^2\) Then change it to: \((2x)^2 - x^2 = 6^2\) Now continue from there.
mathstudent55
  • mathstudent55
Did you get an answer?
anonymous
  • anonymous
9
mathstudent55
  • mathstudent55
???
mathstudent55
  • mathstudent55
The next step is \(4x^2 - x^2 = 36\) \(3x^2 = 36\) Divide both sides by 3 and then take the square root.
anonymous
  • anonymous
oh opps i did something else
anonymous
  • anonymous
x^2=12. So, x=3.4641016
mathstudent55
  • mathstudent55
No don't find a decimal approximation. \(x^2 = 12\) \(x = \sqrt {12}\) \(x = \sqrt {4 \times 3} \) \(x = 2\sqrt 3\) Now we have x. The side of the rhombus is 2x, so multiply x by 2.
anonymous
  • anonymous
Side= \[4\sqrt{3}\approx6.93\]
anonymous
  • anonymous
I understand now. Thanks for the help @mathstudent55 :D Much appreciated.
mathstudent55
  • mathstudent55
Excellent work! You're welcome.

Looking for something else?

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