已知:等腰梯形ABCD中,AD∥BC,对角线AC⊥BD,AD=3cm,BC=7cm,则梯形的高是?
人气:102 ℃ 时间:2019-09-29 01:45:12
解答
过C作CF∥BD∵AD∥BC,CF∥BD,∴四边形BDFC是平行四边形,∴BD=CF,三角形ACF的高CH就是梯形的高,∵ABCD是等腰梯形,∴AC=BD,∴AC=CF,∵AC⊥BD,∴AC⊥CF,∴△ACF是等腰直角三角形,∵AD=3cm,BC=7cm,∴AF=10c...
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