Mathematics
In the given figure, AD = 4 cm, AB = 12 cm, AC = 18 cm and ∠ADE = ∠ABC, then CE is equal to :
6 cm
9 cm
4 cm
12 cm
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Answer
In △ ADE and △ ABC,
⇒ ∠ADE = ∠ABC (Given)
⇒ ∠DAE = ∠BAC (Common angle)
∴ △ ADE ~ △ ABC (By A.A. axiom)
We know that,
Corresponding sides of similar triangle are proportional.
From figure,
CE = AC - AE = 18 - 6 = 12 cm.
Hence, Option 4 is the correct option.
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