Question 67

If in ΔABC, DE ||BC, AB = 7.5cm, BD = 6cm and DE = 2cm, then the length of BC in cm is :

Solution

Given : AB = 7.5 cm and BD = 6 cm

=> AD = AB - DB = 1.5 cm

To find : BC = ?

Solution : DE is parallel to BC

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

=> $$\frac{1.5}{7.5} = \frac{2}{BC}$$

=> $$\frac{1}{5} = \frac{2}{BC}$$

=> $$BC = 2 \times 5 = 10$$ cm

=> Ans - (C)

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