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AとCのx座標をtとすると、BとDのx座標はt+6
Aのy座標(つまりAC)は10/t
Bのy座標(つまりBD)は10/(t+6)
AC=5BDより
10/t=5×10/(t+6)
10で割ると
1/t=5/(t+6)
両辺t(t+6)をかけると
t+6=5t
t=3/2
です。

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