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

  1. Chapter 7 Class 9 Triangles
  2. Concept 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 BOC and AOD, BOC = AOD CBO = DAO BC = AD BOC AOD BO = AO Hence proved

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.