If the lengths of the legs of a right triangle are 2 and 3, what is the length of the hypotenuse?

hypotenuse = sqrt (13)

Step-by-step explanation:

We can use the Pythagorean theorem since it is a right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

2^2 + 3^2 = c^2

4+9 = c^2

13 = c^2

Taking the square root of each side

sqrt (13) = sqrt (c^2)

sqrt (13) = c

The hypotenuse = sqrt (13)