Respuesta :

The Pythagorean Theorem is used to to find the sides of a right triangle :

[tex]c^2=a^2+b^2[/tex]

where a and b are the legs of the triangle

and

c is the hypotenuse

From the given problem :

The legs are 2 and 3

Using the formula above, the hypotenuse will be :

[tex]\begin{gathered} c^2=2^2+3^2 \\ c^2=4+9 \\ c^2=13 \end{gathered}[/tex]

Take the square root of both sides :

[tex]c=\sqrt[]{13}[/tex]

The correct answer is Choice B. √13