In the given figure, BC∥DE, area (△ABC)=25cm2, area (trap. BCED)=24cm2 and DE=14cm. Calculate the length of BC.
20cm
10cm
5cm
Noneofthese
A
10cm
B
5cm
C
Noneofthese
D
20cm
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Solution
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Given: BC∥DE In △ABC and △ADE ∠BAC=∠DAE (Common angle) ∠ABC=∠ADE (Corresponding angles) ∠ACB=∠AED (Corresponding angles) Thus, △ABC∼△ADE (AAA rule)
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