50, 看这儿

来源: math-fan 2018-02-11 13:15:35 [] [旧帖] [给我悄悄话] 本文已被阅读: 次 (402 bytes)
本文内容已被 [ math-fan ] 在 2018-02-11 18:02:14 编辑过。如有问题,请报告版主或论坛管理删除.
回答: 刚刚, 又卡住了, 你们也看看Vaillan2018-02-11 11:46:53

since we know AE and ED, so we easily know the length of AD=BC= sqrt(21^2+72^2)= 75and CF=sqrt(75^2-45^2)=60,

let's draw a line parallel to AD pass point F, it interacts with AD at point G, and interacts with BC at point H,

then found length of FH=36 and BH=AG=27, then we found GH= 14 in triangle of GFD,

AB=FH+GF=36+14=50.

 

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