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