ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2
In ΔABC, ∠ACB = 90° and AC = BC [Since, ABC is an isosceles triangle right angled at C]
Using Pythagoras theorem,
⇒ AB2 = AC2 + BC2
⇒ AB2 = AC2 + AC2 [Since AC = BC]
Therefore, AB2 = 2 AC2
ABC is an isosceles triangle right angled at C. Prove that AB² = 2AC²
NCERT Class 10 Maths Solutions Chapter 6 Exercise 6.5 Question 4
For a triangle ABC that is an isosceles triangle right angled at C, it is proved that AB2 = 2AC2.
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