Answer :

Given: AB = 11cm, BE = 3cm and DE = 3.5cm


Construction: Join AC


Here,


AE: CE = DE: BE


AE×BE = DE×CE


(AB + BE)×BE = DE×(CD + DE)


(11 + 3)×3 = 3.5×(CD + 3.5)


14×3 = 3.5×(CD + 3.5)


3.5×(CD + 3.5) = 42


(CD + 3.5) = = 12


CD = 12—3.5 = 8.5


CD = 8.5

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