Respuesta :

Answer:

The length of he hypotenuse of the triangle is  x = 65.

Step-by-step explanation:

Here, the base of the right triangle = 56

The perpendicular = 33

The hypotenuse of the triangle = x

Now, by PYTHAGORAS THEOREM: In a right angled triangle

[tex](Base)^{2}    + (Perpendicular)^{2}   = (Hypotenuse)^{2}[/tex]

or, here  

[tex](56)^{2}    + (33)^{2}   = (x)^{2}[/tex]

or, [tex]x^{2}  = 3136 + 1089 \implies x = \sqrt{4225} \\x = 65[/tex]

Hence, the length of he hypotenuse of the triangle is 65.