△ABC中,AB=8,AC=6,D在AB上,且AD=5,在AC上取一点P,问AP为何值时,△APD与△ABC相似

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△ABC中,AB=8,AC=6,D在AB上,且AD=5,在AC上取一点P,问AP为何值时,△APD与△ABC相似
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△ABC中,AB=8,AC=6,D在AB上,且AD=5,在AC上取一点P,问AP为何值时,△APD与△ABC相似
△ABC中,AB=8,AC=6,D在AB上,且AD=5,在AC上取一点P,问AP为何值时,△APD与△ABC相似

△ABC中,AB=8,AC=6,D在AB上,且AD=5,在AC上取一点P,问AP为何值时,△APD与△ABC相似
△APD与△ABC
则:AP/AB=AD/AC
AP/8=5/6
AP=20/3.
或AP/AC=AD/AB
AP/6=5/8
AP=15/4.
AP为20/3或15/4时,△APD与△ABC相似.

3.75 ,,△APD与△ABC要相似,即角ADP等于角ABC,角APD等于角ACB,线AP和线BC平行,
设AP为X,
6:x=8:5
8x=6*5=30
x=30/8=15/4=3.75

因为三角形相似,所以有5/8=AP/6
解得AP=3.75

6:x=8:5
8x=6*5=30
x=30/8=15/4=3.75