Respuesta :

Answer:

Step-by-step explanation:

we are given that given that  1/2T = 60 so T=120°  so we also know R = 120 °

then W and S are also the same angle so 2z +240 = 360

2z = 120

z=60

W =60 °

S = 60 °

which makes sense b/c the small triangles also tell us that the sharp angles of the small triangles are 30 °  for the  30 , 60 90 triangle.

so by complementary angle we know that c = 60 °

we also know that a = 12 b/c all the small triangles are identical.  

we also know that b= 90 °  also by complementary angle

we can also solve for length of SW and RT

cos(30)=adj / Hyp  

12*Cos(30) = adj

12*[tex]\sqrt{3}[/tex] /2 = adj

but the adjacent side is 2 times for SW so

SW = 12 [tex]\sqrt{3}[/tex]

for RT

sin(30) = Opp / hyp

12 * Sin(30) = Opp

12 * 1/2 = opp

but RT is times 2 again, sooo

RT = 12

you can also solve for the area of SRWT = 12 *12 = 144 units  (what ever unties 12 is in)   hmmm

That's all I can think of to solve for now  :)

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