Respuesta :

a = c
b = 180 - a
d = 90

a = 180 - (90 +22.6) = 67.4
x = 5 as the ratio of lengths of the small triangle to big triangle is 1:2
therefore if the big triangle has a length 10, then the small one must be 5
gmany
[tex]d=90^o\\\\a+22.6^o+90^o=180^o\\a+112.6^o=180^o\ \ \ |-112.6^o\\a=67.4^o\\\\b=180^o-67.4^o=112.6^o\\\\c=a\to c=67.4^o\\\\\dfrac{x}{12}=\dfrac{10}{24}\ \ \ |\cdot12\\\\x=\dfrac{10}{2}\to x=5[/tex]
Ver imagen gmany