Answer:
25 cm
Explanation:
Since we're given that L is a right angle and M = 30°, we know that this is a 30-60-90 triangle since the sum of all the angles in a triangle will always equal 180 and 180 - (30 + 90) = 60.
To further explain the sides in a 30-60-90 triangle (and keep the explanation consistent with the letters in the problem), we can think of m as being a normal side:
-The side opposite the 30° angle is the smallest side and normal
-The side opposite the 60° angle is larger than the 30° and smaller than the hypotenuse. We can think of it as m√3 since you find it is the product of the 30° side and √3.
-The hypotenuse (side opposite the right angle) is the largest side. We can think of it as 2m as it is the the 30° doubled.
Since we know that MN = 50 and it is the hypotenuse, we can easily find LN by simply dividing 50 by 2 to get LN = 25 cm.