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ABC is an isosceles triangle right angled at C. Prove that AB^2 = 2AC^2 - Mathematics

ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2 

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Solution

Given that ΔABC is an isosceles triangle.

∴ AC = CB

Applying Pythagoras theorem in ΔABC (i.e., right-angled at point C), we obtain

AC2 + CB2 = AB2

=> AC2+ AC2 = AB2   (AC = CB)

⇒ 2AC2 = AB2

Concept: Pythagoras Theorem
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APPEARS IN

NCERT Class 10 Maths
Chapter 6 Triangles
Exercise 6.5 | Q 4 | Page 150
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