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

 

In figure, AD = 2cm, BD = 3 cm, AE = 3.5 cm, AC = 7 cm. Is DE parallel

 

Remove Ads
Teachoo · Class 10 Explore Class 10

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.