Question

I don't understand this ​

Answer 1

`m = 3 √(12)`

`n = 6`

Explanation:

n=1/2 of 12 according to the rule:

right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so n=12/2=6

and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

so

`{m}^(2) + {n}^(2) = {12}^(2)`

now lets put numbers on formula

`{m}^(2) + {6}^(2) = {12}^(2)`

from this formula m=

`m = \sqrt{ {12}^(2) - {6}^(2) } = √(144 - 36) = √(108) = 3 √(12)`