Q5 of 65 Page 150

ABC is an isosceles triangle with AC = BC. If prove that ABC is a right triangle

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 triangle


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(i) AB2 = BC . BD


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(iii) AD2 = BD . CD


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