如图,△ABC中,∠ACB=90°,ID⊥CB于D,IE⊥CA于E,IF⊥AB于F,且ID=IE=IF.(1)求证:四边形ECDI是正方形;(2)当CA=8,CB=15时,求ID的长
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![如图,△ABC中,∠ACB=90°,ID⊥CB于D,IE⊥CA于E,IF⊥AB于F,且ID=IE=IF.(1)求证:四边形ECDI是正方形;(2)当CA=8,CB=15时,求ID的长](/uploads/image/z/2777001-33-1.jpg?t=%E5%A6%82%E5%9B%BE%2C%E2%96%B3ABC%E4%B8%AD%2C%E2%88%A0ACB%3D90%C2%B0%2CID%E2%8A%A5CB%E4%BA%8ED%2CIE%E2%8A%A5CA%E4%BA%8EE%2CIF%E2%8A%A5AB%E4%BA%8EF%2C%E4%B8%94ID%3DIE%3DIF.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E5%9B%9B%E8%BE%B9%E5%BD%A2ECDI%E6%98%AF%E6%AD%A3%E6%96%B9%E5%BD%A2%EF%BC%9B%EF%BC%882%EF%BC%89%E5%BD%93CA%3D8%2CCB%3D15%E6%97%B6%2C%E6%B1%82ID%E7%9A%84%E9%95%BF)
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