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anonymous
 one year ago
Find the length of a side of rhombus ABCD if AE=6".
anonymous
 one year ago
Find the length of a side of rhombus ABCD if AE=6".

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437452607189:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2What do you know about the diagonals of a rhombus?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Yes, the diagonals of a rhombus bisect each other, but there is another important property of the diagonals of a rhombus.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What is the other property?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The are perpendicular to each other.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Also, all sides of a rhombus are congruent. dw:1437453036000:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now you can use the Pythagorean theorem to find x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a^2+b^2=c^2. So, 2x^26^2=x^2.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Yes, you have the right idea, but you need to be careful when you write it.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\((2x)^2  6^2 = x^2\) The parentheses are important because you will get 4x^2. Without parentheses you have 2x^2 which is incorrect.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2I'd start with \(x^2 + 6^2 = (2x)^2\) Then change it to: \((2x)^2  x^2 = 6^2\) Now continue from there.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Did you get an answer?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The next step is \(4x^2  x^2 = 36\) \(3x^2 = 36\) Divide both sides by 3 and then take the square root.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh opps i did something else

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x^2=12. So, x=3.4641016

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No 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
 one year ago
Best ResponseYou've already chosen the best response.0Side= \[4\sqrt{3}\approx6.93\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I understand now. Thanks for the help @mathstudent55 :D Much appreciated.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Excellent work! You're welcome.
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