Answer :

[tex]x\text{ = }\sqrt[]{11}\text{ in}[/tex]

Here, we want to calculate the length of the missing side

From the given figure, we can see that the missing side faces the right angle

The side that faces the right angle is the longest side and it is called the hypotenuse

Mathematically, according to Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

We have this as;

[tex]\begin{gathered} x^2=2^2\text{ + (}\sqrt[]{7})^2 \\ x^2\text{ = 4 + 7} \\ x^2\text{ = 11} \\ x\text{ = }\sqrt[]{11\text{ }}\text{ in} \end{gathered}[/tex]