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

Ex 7.1, 3 - Chapter 7 Class 9 Triangles - Part 2

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.