In the given figure, DE║BC and DE: BC = 3:5. Calculate the ratio of the areas of ∆ADE and the trapezium BCED.

 

 

Answer:

Given,

DE || BC.

∠???????????? = ∠???????????? (???????????????????????????????????????????????????? ????????????????????????)

∠???????????? = ∠???????????? (???????????????????????????????????????????????????? ????????????????????????)

Applying AA similarity theorem,

∆ ADE ~ ∆ABC

Subtracting 1 from both sides,