![Ex 6.5, 4 - Chapter 6 Class 10 Triangles - Part 2](https://d1avenlh0i1xmr.cloudfront.net/cfe309c9-7d42-4aad-8629-8d079e59f35f/slide22.jpg)
Pythagoras Theorem and it's important questions
Pythagoras Theorem and it's important questions
Last updated at April 16, 2024 by Teachoo
Question 4 ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2 Given: ∆ 𝐴𝐵𝐶 is right triangle Also ∆ 𝐴𝐵𝐶 is isosceles To prove: AB2 = 2AC2 Proof: Here, Hypotenuse = AB Also we know that ΔABC is isosceles Hence AC = BC Using Pythagoras theorem in Δ ACB Hypotenuse2 = (Height)2 + (Base)2 AB2 = AC2 + BC2 AB2 = AC2 + AC2 AB2 = 2 AC2 Hence proved