In `Delta`EAT and `Delta ETB`,
`/_ AET ~= /_TEB ` ….`square `
`/_ ETA ~= /_EBT ` ….`square `
`:. Delta EAT ~ Delta ETB ` …`square `
`:. ( ET)/( square) = ( EA)/(square ) ` ….(Corresponding sides of similar triangle )
`:. EA xx EB = square `
Proof `:`
In `Delta EAT ` and `Delta ETB.`
`/_AET ~= TEB` ....Common angle
`/_ ETA ~= /_ EBT ` .....Tangent secant theorem
`:. Delta EAT ~ Delta ETB ` ....A A test of similarity
`:. (ET )/( EB ) = (EA )/( ET)` ....(Corresponding sides of similar triangle )
`:. EA xx EB = ET^(2)`