1.

In the given figure, DEFG is a square and ∠BAC = 90°. Show that FG2 = BG x FC

Answer»

ΔADE~ ΔGBD and ΔADE~ ΔFEC

⇒ΔGBD ~ ΔFEC (AA criterion)

⇒GD/FC = GB/FE 

⇒GD x FE 

= GB x FC  

or FG2 = BG x FC



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