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Question

Which of the following can't be the lengths of the sides of a right-angled triangle?

A
5 inches, 12 inches, 13 inches
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B
13 of a foot, 14 of a foot, 15 of a foot
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C
9cm, 40cm, 41cm
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D
34 of a foot, 1 foot, 15 inches
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Solution

The correct option is B 13 of a foot, 14 of a foot, 15 of a foot
For a set of numbers to be sides of a right angled triangle, the square of the longest side must equal the sum of the squares of the other two sides.
In option A, 132=169,52+122=169 so possible.
In option B, (13)2=19,(14)2+(15)2=41400
Since, these two values are not equal, this set cannot form a right angled triangle.

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