If Stu is similar to XYZ the sides of STUbmust be congruent to the corresponding sides XYZ
2 answers:
This is a particular case, but it is not necessarily true. If triangles STU and XYZ are similar, the corresponding sides are in the same proportion. So, there exists a number such that
So, if , the corresponding sides are actually congruent, but it can be any other number. For example, if
, triangle XYZ is exactly twice as large as triangle STU, but they are still similar.
You might be interested in
see the attached figure to better understand the problem
Let
2L---------> lenght side of hexagon
we know that
in one of those triangles
sin 30=1/2
sin 30=L/hypotenuse
solve for L
L=hypotenuse*sin 30-------->L=( 1 8 √ 3 )*(1 /2)------> L=9√3 units
Find the perimeter
perimeter=(2L)*6--------> L*12-------> Perimeter=9√3*12--------->108√3 units
therefore
the answer is
the perimeter of the regular hexagon is 108√3 units
