Integer sides

A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?

Correct result:

c =  6 cm

Solution:

a=11=11≐3.3166  c2=a2+b2 c2=11+b2  c2=11+b2=11+52=9  b=5 c=6 cma=\sqrt{ 11 }=\sqrt{ 11 } \doteq 3.3166 \ \\ \ \\ c^2=a^2+b^2 \ \\ c^2=11 + b^2 \ \\ \ \\ c^2=11 + b^2=11 + 5^2=9 \ \\ \ \\ b=5 \ \\ c=6 \ \text{cm}

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