Imagine a rectangle with sides , , , and . Side has a length of while has a length of .
Put point on . Draw a line from to and draw another line from to .
If has a measurement of , what is the length of line segments and ?
Rectangle
How can I solve for the lengths of the red lines? A step-by-step solution will be very much appreciated.
Here's the link of an image of described shape: http://imgur.com/gallery/x6kGdAq
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Here's a hint: let DE be x. Then, AE=6−x. We can use the Pythagorean Theorem to express EB and EC in terms of x. Then, you can use Cosine Law on △EBC and solve for x. Plug the result back into EB and EC, and the problem is solved!
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AE is equal to 6−x? But AD is 6 and you said let it be x.
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Whoops, my mistake. I meant let DE be x. Everything else stays the same.