In triangle ABC, find k if there is only one possible value for x.

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In triangle ABC, find k if there is only one possible value for x.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1352018124446:dw| the only possible solution is when the segment of length k is perpendicular to the segment of length x.
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Thanks sirm3d. Hmm... sort of
I don't quite understand why the only possible solution is when the segment of length k is perpendicular to the segment of length x
If k is not perpendicular, you will have 2 different values of x. Look at the picture sirm3d drew for you.
But in the statement of the problem you have only one possible value for x.
Oh I see now! Thanks for that :)

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