Let \( A B C \) be a triangle with \( \angle C=90^{\circ} \). Draw \( C D \) perpendicular to \(...

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Let \( A B C \) be a triangle with \( \angle C=90^{\circ} \). Draw \( C D \) perpendicular to \( A B \). Choose points \( M \) and \( N \) on sides \( A C \) and \( B C \) respectively such that \( D M \) is parallel to \( B C \) and \( D N \) is parallel to \( A C \). If \( D M=5, D N=4 \), then \( A C \) and \( B C \) are respectively equal to
(a) \( 41 / 4,41 / 5 \)
(b) \( 39 / 4,39 / 5 \)
(c) \( 38 / 4,38 / 5 \)
(d) \( 37 / 4,37 / 5 \)
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