In the given figure, AD = 2cm, BD = 3 cm, AE = 3.5 cm and AC = 7 cm. Is DE parallel to BC ?

 

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  1. Class 10
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Question 7 (Choice - 2) In the given figure, AD = 2cm, BD = 3 cm, AE = 3.5 cm and AC = 7 cm. Is DE parallel to BC ? Here, ๐‘จ๐‘ซ/๐‘ซ๐‘ฉ=๐Ÿ/๐Ÿ‘ ๐‘จ๐‘ฌ/๐‘ฌ๐‘ช= ๐ด๐ธ/(๐ด๐ถ โˆ’ ๐ด๐ธ) =3.5/(7 โˆ’ 3.5) =3.5/3.5=๐Ÿ Since ๐‘จ๐‘ซ/๐‘ซ๐‘ฉ โ‰  ๐‘จ๐‘ฌ/๐‘ฌ๐‘ช โˆด Ratio of the two sides is not same, So, we cannot use Basic Proportionality Theorem โˆด DE is not parallel to BC

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.