A triangle \( \mathrm{ABC} \) is drawn to circumscribe a circle of radius \( 4 \mathrm{~cm} \) s...

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A triangle \( \mathrm{ABC} \) is drawn to circumscribe a circle of radius \( 4 \mathrm{~cm} \) such that the segments \( B D \) and \( \mathrm{DC} \) into which \( \mathrm{BC} \) is divided by the point of contact D are of lengths \( 8 \mathrm{~cm} \) and \( 6 \mathrm{~cm} \) respectively (see Fig. Find the sides \( \mathrm{AB} \) and \( \mathrm{AC} \).
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