Answer:
The value of x is 4.
Step-by-step explanation:
It is given that triangle MRN is created when an equilateral triangle is folded in half.
It means original equilateral is triangle MNO and NR is a perpendicular bisector (<em>A line which cuts a line segment into two equal parts at 90°</em>).
The side length of the triangle is
NO = NS + SM = 6 + 2 = 8
Since an equilateral triangle is a triangle in which all three sides are equal and NR is a perpendicular bisector, therefore
RM = MO/2 = 8/2 = 4
The value of x is 4.
