Question

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

Answer 1

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