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Geometry Word Problem?
Kite Design - You are designing a diamond-shaped kite. You know that AB = 38.4 centimeters, BC = 72 centimeters, and AC = 81.6 centimeters. You want to use a straight crossbar BD. About how long should it be?
http://i100.photobucket.com/albums/m25/Silentgow/Question.jpg
Above is a link to the picture on what it looks like, and the answer is 67.8, but I'd really like to know how to do this step by step - I don't quite understand it, thanks in advance.
You have a lot of right triangles there, so use the Pythagorean Theorem.
Call the point where AC intersects BD, the point E.
Then
AE + EC = AC = 81.6
AE² + BE² = AB² (Pythagorean Theorem) = 38.4²
EC² + BE² = BC² (Pythagorean Theorem) = 72²
From those 3 equations,
you can solve for AE, EC, and BE and 2 x BE = BD.