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ABC is an isosceles triangle with AC = BC. If AB² = 2AC² , prove that ABC is a right triangle.

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NCERT Solutions for Class 10 Maths Chapter 6
Important NCERT Questions
Triangles
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 6.5
Page No:150
Questions No:5

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2 Answers

  1. Given that : AB² = 2AC²
    ⇒ AB² = AC² + AC²
    ⇒ AB² = AC² + AB² [Because AC = BC]
    These sides satisfy the pythagoras theorem.
    Hence, the triangle ABC is a right angled triangle.

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  2. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
    Please follow the link to visit website for first and second term exams solutions.
    https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-6/

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