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ABCD is a kite. AB=393 meters; BC=524 meters, AD=314 meters, find CD, rounded to nearest meter.

ALSO:::
Diagonal BD=236
Diagonal AC=655

Thank!

2007-01-11 19:22:45 · 6 answers · asked by Spearfish 5 in Science & Mathematics Mathematics

6 answers

OK. It's not the usual kite shape, and it probably wouldn't fly. But it's a quadrilateral, and the problem can be solved.

I developed a solution by placing the points on a set of x-y axes and solving for the x-y coordinates of each vertex.

In brief, here is the process:

Let A be the origin (0, 0).
Place B along the x axis at (393, 0).
Find C so that it is 524 m from B and 655 m from A.
Answer: C is at (393, 524). Note that ABC is a right triangle.

Find D so that it is 314 m from A and 236 m from B.
Answer: D is at (125.64, 287.77)

Finally, find the distance from C to D.
Answer: 356.77 m (which, to the nearest meter, is 357 m).

2007-01-11 20:02:44 · answer #1 · answered by actuator 5 · 0 0

Quadrilateral ABCD can't be a kite. The definition of a kite is:

A planar convex quadrilateral consisting of two adjacent sides of length "a" and the other two sides of length "b".

Here is a link.

http://mathworld.wolfram.com/Kite.html

For a true kite with diagonals of length p and q, the area A, is:

A = ½pq

2007-01-12 03:42:48 · answer #2 · answered by Northstar 7 · 0 0

Scale down to some reasonable size and draw a picture.

2007-01-12 03:53:27 · answer #3 · answered by becky 2 · 0 0

i think the answer is around 700
i tried a lot so either correct or wrong pl give it as best

2007-01-12 03:40:14 · answer #4 · answered by SAI H 2 · 0 0

tapessium

2007-01-12 03:36:11 · answer #5 · answered by Lynda L 3 · 0 1

it will never fly

2007-01-12 03:30:05 · answer #6 · answered by da rinse mode 4 · 0 1

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