Question 88

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

Solution

DE is parallel to BC

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

=> $$\frac{8}{8 + 6} = \frac{7.2}{BC}$$

=> $$\frac{4}{7} = \frac{7.2}{BC}$$

=> $$BC = 1.8 \times 7 = 12.6$$ cm

=> Ans - (A)

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