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設直角三角形的直角邊為x,則另一直角邊為8-x.直角三角形的面積是S.根據題意,得S=12x(8-x)(0<x<8),配方,得S=-12(x-4)2+8;∴當x=4時,即兩條直角邊各為4時,此時三角形的面積最大,最大面積是8.
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