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Ex 7.1, 3 - AD and BC are equal perpendiculars to a line - Ex 7.1

  1. Chapter 7 Class 9 Triangles
  2. Serial order wise
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Ex7.1, 3 AD and BC are equal perpendiculars to a line segment AB (See the given figure). Show that CD bisects AB. Given: AD = BC AD ⊥ AB , i.e. ∠ OAD = 90° BC ⊥ AB , i.e. ∠ OBC = 90° To prove: CD bisects AB i.e. OA = OB Proof: Since Line CD & AB intersect. ∠ AOD = ∠ BOC In ΔBOC and ΔAOD, ∠BOC = ∠AOD ∠CBO = ∠DAO BC = AD ∴ ΔBOC ≅ ΔAOD ∴ BO = AO Hence proved

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