In the figure given below, \( \angle A B C=90^{\circ}, A D=15 \mathrm{~cm} \) and \( D C=20 \mat...

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In the figure given below, \( \angle A B C=90^{\circ}, A D=15 \mathrm{~cm} \) and \( D C=20 \mathrm{~cm} \). If \( B D \) is the bisector of \( \angle A B C \), What is the perimeter of the triangle \( A B C ? \)
(a) \( 74 \mathrm{~cm} \)
(b) \( 84 \mathrm{~cm} \)
(c) \( 91 \mathrm{~cm} \)
(d) \( 105 \mathrm{~cm} \)
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