In the given figure, AD = 2cm, BD = 3 cm, AE = 3.5 cm and AC = 7 cm. Is DE parallel to BC ?
CBSE Class 10 Sample Paper for 2021 Boards - Maths Basic
CBSE Class 10 Sample Paper for 2021 Boards - Maths Basic
Last updated at Dec. 16, 2024 by Teachoo
Transcript
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, 𝑨𝑫/𝑫𝑩=𝟐/𝟑 𝑨𝑬/𝑬𝑪= 𝐴𝐸/(𝐴𝐶 − 𝐴𝐸) =3.5/(7 − 3.5) =3.5/3.5=𝟏 Since 𝑨𝑫/𝑫𝑩 ≠ 𝑨𝑬/𝑬𝑪 ∴ Ratio of the two sides is not same, So, we cannot use Basic Proportionality Theorem ∴ DE is not parallel to BC