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XM || AB, XN || AC
TX² = TB x TC
BN || XM
For ΔTXM we have
BN || XM
Now we will use BASIC PROPORTIONALITY THEOREM
TB/TX = TN/TM --- (this is equation 1)
XN || AC
XN || CM
In ΔTMC we have
XN || CM
Again we will use BASIC PROPORTIONALITY THEOREM
TX/TC = TN/TM --- (this is equation 2)
Now we will compare equation 1 and equation 2
TB/TX = TX/TC
TX² = TB x TC (proved)
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