Respuesta :

In the right triangle, one of the angles has measure 60 deg, so the remaining angle has measure 30 deg. In such a 30-60-90 triangle, the sides occur in a ratio of 1 to [tex]\sqrt3[/tex] to 2 (shorter leg to longer leg to hypotenuse). This means

[tex]2n=4\implies n=2[/tex]

[tex]n\sqrt3=m\implies m=2\sqrt3[/tex]

making the answer C.