In the given figure, DE || BC. If AD = 2 cm, AB = 5 cm and DE= 3 cm, then BC is equal to
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Given : ΔABC , DE || BC , AD = 2 cm , AB = 5 cm , DE = 3 cm
To Find : BC
Solution:
In ΔABC , DE || BC
∠D = ∠B ( corresponding angles)
∠E = ∠C ( corresponding angles)
∠A = ∠A Common angle
=> ΔADE ~ ΔABC using AAA Similarity
Ratio of corresponding sides of similar triangle is Equal
Hence
AD/AB = DE/BC
=> 2/5 = 3/BC
=> BC = 15/2
=> BC = 7.5 cm
Length of BC is 7.5 cm
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