Answer:
D. m = [tex]\sqrt{3}, n = 1[/tex]
Step-by-step explanation:
The triangle given is a 30-60-90 triangle. This means that the longer side of the leg is [tex]x\sqrt{3}[/tex] (m), the shorter side of the leg is x (n), and the hypotenuse is 2x.
The hypotenuse is already given as 2, and since the hypotenuse is 2x, to find the shorter side (n), just divide by 2, giving you n = 1.
Now onto the longer side (m); it's represented by [tex]x\sqrt{3}[/tex], and since x is just 1, all you do is put x in front of [tex]\sqrt{3}[/tex].
But in this case, x is just 1, so it's like "imaginary," and doesn't need to be written out.
