Answer:
A m=6 n=3
Since the given angles are 60 and 90, the last missing angle is 30 using triangle interior angle rule.
This is a special right triangle called the
30-60-90 triangle.
The hypotenuse is twice the length of the horizontal side or base.
The height or vertical side is sqr root of 3 times more than the horizontal side.
This is the ratio for a 30-60-90 triangle
[tex](x)(2x)( x\sqrt{3} )[/tex]
where x is any positive number
Let plug in the given from the triangle to find the missing side
[tex](n)(2n = m)(3 \sqrt{3} )[/tex]
Since the whole number of the radical
[tex]3 \sqrt{3} [/tex]
is 3. This means n is 3 using our ratio for 30 60 90 triangle .
[tex]n = 3[/tex]
Since m equal twice of n we will plug 3 in for n to find m
[tex]m = 2(3)[/tex]
[tex]m = 6[/tex]
