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  1. Class 10
  2. Important Questions for Exam - Class 10
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Theorem 6.1 :- If a line is drawn parallel to one side of a triangle to intersect the other two side in distinct points, the other two sides are divided in the same ratio. Given :- Δ ABC where DE ∥ BC To Prove :- 𝐴𝐷﷮𝐷𝐵﷯ = 𝐴𝐸﷮𝐸𝐶﷯ Construction :- Join BE and CD Draw DM ⊥ AC and EN ⊥ AB. Proof: Now, Now, ∆BDE and ∆DEC are on the same base DE and between the same parallel BC and DE. ∴ ar (BDE) = ar (DEC) Hence, ar (ADE)﷮ar (BDE)﷯ = ar (ADE)﷮ar (DEC)﷯ AD﷮DB﷯ = AE﷮EC﷯ Hence Proved.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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