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Question

Which of the following can form the three sides of a right-angled triangle?


A

AB+BC+CA = 2 AM

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B

AB+BC+CA > 2AM

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C

AB+BC+CA < 2AM

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D

AB+BC+CA = AM

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Solution

The correct option is A

AB+BC+CA = 2 AM


3, 4, 5 form a Pythagorean triplet i.e. the sum of the squares of 3 and 4 equals the square of 5. Apart from this combination, none can form a right-angled triangle as they do not make up a Pythagorean triplet.


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