Integer sides

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

Correct answer:

c =  6 cm

Step-by-step explanation:

$$\begin{gathered} a=\sqrt{11}=\sqrt{11}\doteq 3.3166 \\ {c}^2=a^2+b^2 \\ {c}^2=11+b^2 \\ {c}^2=11+b^2=11+5^2=11 \\ b=5 \\ c=6=6\text{ cm} \end{gathered}$$

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