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UKMT Grey Kangaroo, 2015

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A square with area $30$ cm $^2$ is divided in two by a diagonal and then into triangles as shown. The areas of some of these triangles are given in the diagram (which is not drawn to scale). Which part of the diagonal is the longest?

(A) $a$ (B) $b$ (C) $c$ (D) $d$ (E) $e$

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