Question 109968
There are 6 equilateral triangles in a hexagon
Each one is 1/6 of the area
Area of a triangle = a
{{{A = 6a}}}
{{{a = (1/2)bh}}}
b = 10
The height is the perpendicular line that bisects one of the 60 degree
angles of the triangle. It divides the equilateral into two
triangles with sides in the ratio {{{1}}} : {{{2}}} : {{{sqrt(3)}}}
In this case, the sides are {{{5}}}:{{{10}}}:{{{5*sqrt(3)}}}
{{{a = (1/2)bh}}}
{{{a = (1/2)10*5*sqrt(3)}}}
{{{a = 25*sqrt(3)}}}
{{{A = 6a}}}
{{{A = 6*25*sqrt(3)}}}
{{{A = 150*sqrt(3)}}} answer