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The side lengths of different triangles are given. Which triangle is a right triangle? A. 6,7,13 B. 21−−√,99−−√,11 C. 10,60,61 D
1 answer:
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The Lagrangian,
has critical points where its partial derivatives vanish:
tells us
, so that
Then with , we get
and tells us
Then there are two critical points, . The critical point with the negative
-coordinates gives the maximum value,
.