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A right-angled triangle of has sides of length (3x-1)cm, x cm and (3x+1) cm. The value of x is *

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since x is clearly [positive, the hypotenuse is 3x+1 (the longest side). So,
(3x-1)^2 + x^2 = (3x+1)^2
x = 12

So, now you know another handy Pythagorean triple: 12-35-37

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