Question 5:

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

Answer:

Given that,

AB² = 2AC²

⇒ AB² = AC² + AC²

⇒ AB² = AC² + BC² (As AC = BC)

The triangle is satisfying the pythagoras theorem.

Therefore, the given triangle is a right – angled traingle.

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