Mathematics Question and Solution
Calculating x.
Notice.
The ascribed irregular quadrilateral is cut out a regular triangle (Equilateral Triangle).
Therefore, resolving with the above fact/analysis.
a = (x+6) units.
a is the side length of the factual equilateral triangle.
b = a-8
b = (x+6)-8
b = (x-2) unit.
b is the shortest length of the cut out scalene triangle.
It implies;
A right-angled triangle is derived where b is the adjacent, 6 units is the hypotenuse and 60° is the angle that indicates the unknown opposite of the derived right-angled triangle.
Calculating x.
cos60 = (x-2)/6
½ = (x-2)/6
6 = 2(x-2)
3 = x-2
x = 5 units.
