Five points A, B, C, D, E on the plane satisfy: AB=8cm, BC=4cm, AD=5cm, DE=1cm, AC=12cm, AE=6cm. If the area of △EAB is 24cm**2. If the distance from point A to CD is equal to ((n)/(m)) (m and n are relatively prime positive integers), then m+n=how much.
平面上的五个点A、B、C、D、E满足：AB=8cm，BC=4cm，AD=5cm，DE=1cm，AC=12cm，AE=6cm．如果△EAB的面积为24cm**2．若点A到CD距离等于((n)/(m))(m与n为互质的正整数)，则m+n=多少．
<gadget id="calculator">5 * 12</gadget>
<output>60</output>

<gadget id="calculator">13 + 60</gadget>
<output>73</output>

<result>73</result>