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in ∆ABG & ∆DCB we have ,
angle AGB = angle DBC (90° each)
angle GBA = angle BCD ( As GB is parallel to DC , so, alternate angles )
so,
∆ABG ~ ∆DCB (AA right ∆ propety)
now for part second ,
similary we can prove that ,
angle DBC = Angle ABE
angle EAB = angle angle CDB ( bcz ∆ABG ~ ∆DCB and angle EAB = angle GAB)
so,
∆BCD ~ ∆ BEA
so,
BC/BD = BE/AB (Proved)
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