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Question 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

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo