Why can't I get this Blue book Math prob...

<p>I'm having trouble with P. 796, Q 20. The picture is of a (seemingly) parallelogram ABCD with equal sides. Diagonal BD is drawn and is also equal to the sides of the figure. The Q asks for the ratio of the length of AC (not drawn) to the length of BD. </p>

<p>Thanks in advance!</p>

<p>Ok:</p>

<p>say each line segment is equal to five, then you have to use the rules for a 90-60-30 right triangle. The hypotenuse is 5, while line segment C(BD) is 2.5 (square root of 3) (x square root of 3) and x equals 2.5 since the hypotenuse is 2x=5, x=2.5. Now, to get the full length for line segment AC multiply 2.5 square root of 3 by two. Which is 5 square root of three = AC, while BD = 5. Then the ratio would be square root of three to one, which is answer b. I hope this made enough sense.</p>

<p>Thank you, gcard1, I totally see it now!</p>