X is any point on side bc of triangle abc xm and xn are drawn parallel to ab and ac meeting ab in n and ac in m mn produced meets cb producedat t prove tx2 =tb into tc
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In triangle TXM
BN parallel XM so by Bpt
TN/NM= TX/XC___1
In triangle TCM
XN parallel CM so by Bpt
TN/NM= TX/XC____2
From___1&____2
TB/TX=TX/XC
TB×XC = TX^2
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