The ratio of the sides AB : BC : AC is equal to

5 : 13 : 12

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12 : 13 : 5

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5 : 12 : 13

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13 : 5 : 12

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Solution

The correct option is C 5 : 12 : 13

Triangle ABC is a right angled triangle.
By using Pythagoras Theorem, we get,
$A C^{2} = A B^{2} + B C^{2} \Rightarrow 26^{2} = 10^{2} + B C^{2} \Rightarrow B C^{2} = 676 - 100 B C^{2} = 576 \Rightarrow B C = 24 m$

So, AB : BC : AC= 10 : 24 : 26 = 5 : 12 : 13.

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