Question 90

In the given figure, DEIIBC and AD : DB = 5 : 3, then what is the value of (DE/BC)?

Solution

Let AD = 5 and DB = 3

DE $$\parallel$$ BC and thus $$\triangle$$ ADE $$\sim$$ $$\triangle$$ ABC

=> $$\frac{AD}{DE}=\frac{AB}{BC}$$

=> $$\frac{DE}{BC}=\frac{AD}{AD+DB}$$

=> $$\frac{DE}{BC}=\frac{5}{5+3}$$

=> $$\frac{DE}{BC}=\frac{5}{8}$$

=> Ans - (A)

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