BDEF is a square formed inside an isoscelesright triangle ABC, right-a

1.	BDEF is a square formed inside an isoscelesright triangle ABC, right-angled at B. Show thatar(AAFE)= ar(ACDE).
Answer» AB = BCAB - BF = BC - BDand AF = CD say 1BD = DE = EF = BF say 2 so the area ofΔAEF = 1/2 x AF x EFarea of triangle CDE = 1/2 CD x DEor 1/2 AF x EF from equation 1 and 2 so the area ofΔAEF = area ofΔ CDE

BDEF is a square formed inside an isoscelesright triangle ABC, right-angled at B. Show thatar(AAFE)= ar(ACDE).

Answer»

AB = BCAB - BF = BC - BDand AF = CD say 1BD = DE = EF = BF say 2

so the area ofΔAEF = 1/2 x AF x EFarea of triangle CDE = 1/2 CD x DEor 1/2 AF x EF from equation 1 and 2

so the area ofΔAEF = area ofΔ CDE