Question

If the lengths of the legs of a right triangle are 2 and 3, what is the length of the hypotenuse?A. √5B. √13C. 4D. 5

Answer 1

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

`c^2=a^2+b^2`

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 :

`\begin{gathered} c^2=2^2+3^2 \\ c^2=4+9 \\ c^2=13 \end{gathered}`

Take the square root of both sides :

`c=\sqrt[]{13}`

The correct answer is Choice B. √13