Ex 6.5, 4 - ABC is an isosceles triangle right angled at C - Ex 6.5

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise
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Ex 6.5, 4 ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2 Given: โˆ† ๐ด๐ต๐ถ is right triangle Also โˆ† ๐ด๐ต๐ถ is isosceles To prove: AB2 = 2AC2 Proof: Here, Hypotenuse = AB Also we know that ฮ”ABC is isosceles Hence AC = BC Using Pythagoras theorem in ฮ” ACB Hypotenuse2 = (Height)2 + (Base)2 AB2 = AC2 + BC2 AB2 = AC2 + AC2 AB2 = 2 AC2 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.