如图,在梯形abcd中,ad//cb,ab垂直于ac,ae垂直于bc,角b=45度,ad=根号2,bc等于4根号2,求dc的长.
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![如图,在梯形abcd中,ad//cb,ab垂直于ac,ae垂直于bc,角b=45度,ad=根号2,bc等于4根号2,求dc的长.](/uploads/image/z/1668045-21-5.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E6%A2%AF%E5%BD%A2abcd%E4%B8%AD%2Cad%2F%2Fcb%2Cab%E5%9E%82%E7%9B%B4%E4%BA%8Eac%2Cae%E5%9E%82%E7%9B%B4%E4%BA%8Ebc%2C%E8%A7%92b%3D45%E5%BA%A6%2Cad%3D%E6%A0%B9%E5%8F%B72%2Cbc%E7%AD%89%E4%BA%8E4%E6%A0%B9%E5%8F%B72%2C%E6%B1%82dc%E7%9A%84%E9%95%BF.)
如图,在梯形abcd中,ad//cb,ab垂直于ac,ae垂直于bc,角b=45度,ad=根号2,bc等于4根号2,求dc的长.
如图,在梯形abcd中,ad//cb,ab垂直于ac,ae垂直于bc,角b=45度,ad=根号2,bc等于4根号2,求dc的长.
如图,在梯形abcd中,ad//cb,ab垂直于ac,ae垂直于bc,角b=45度,ad=根号2,bc等于4根号2,求dc的长.
AB=AC;得AB=4,BE=AE;得BE=2√2,FC=BC-BE-EF=4√2-2√2-√2=√2;
DC的平方=DF的平方+FC的平方 即可得:DC=√10.