Answer:
x = 6
y = 6[tex]\sqrt{2}[/tex]
z = 12
Step-by-step explanation:
the ratio of sides in a 30-60-90° triangle is, respectively, 1 : [tex]\sqrt{3}[/tex] : 2
therefore, 'x' must have a measure of 6
which means the hypotenuse must have a measure of 12
other triangle is a 45-45-90° triangle whose sides are in a ratio of 1 to [tex]\sqrt{2}[/tex]
this means that 'y' must be 12/[tex]\sqrt{2}[/tex] which is 6[tex]\sqrt{2}[/tex]
'z' must be 6[tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 12
