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Monkeys in a tree

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A tree 100 units high is 200 units distant from a well; from this tree one monkey climbs down and goes to the well, but the other leaps into the air and descends by the hypotenuse from the high point of the leap, and both pass over an equal space. Find the height of the leap.

(Brahmagupta, India, ca 628)

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"Monkeys in a tree," Loci (June 2007)

Dummy View - NOT TO BE DELETED