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computational, square on hypotenuse (2014 From Tasks to Tasks, p4 Ukr)

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May 2, 2021
geometryright trianglesquare

Problem Statement

In the triangle ABCABC it is known that AC=21AC = 21 cm, BC=28BC = 28 cm and ∠C=90o\angle C = 90^o. On the hypotenuse ABAB, we construct a square ABMNABMN with center OO such that the segment COCO intersects the hypotenuse ABAB at the point KK. Find the lengths of the segments AKAK and KBKB.
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