Last updated at Dec. 13, 2024 by Teachoo
Question 4 ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2 Given: โ ๐ด๐ต๐ถ is right triangle Also โ ๐ด๐ต๐ถ is isosceles To prove: AB2 = 2AC2 Proof: Here, Hypotenuse = AB Also we know that ฮABC 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
Pythagoras Theorem and it's important questions
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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