Respuesta :

These values can make a right triangle.


Here's how: if the two legs have a length of [tex] \sqrt{2} [/tex], and the hypotenuse is 2, the math checks out.


Let's use the Pythagorean theorem:


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


a and b represent the leg lengths, whereas c represents the hypotenuse length:


[tex] (\sqrt{2})^{2}+(\sqrt{2})^{2} =(2)^{2} [/tex]


Then we simplify:


[tex] 2+2=4 [/tex]


And this is indeed true.