Answer:
x = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{CD}{FG}[/tex]
Note that ΔBCD is a 3- 4- 5 triangle ( Pythagorean triple), hence CD = 4
Substitute given values into the equation
[tex]\frac{3}{6}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
3x = 24 ( divide both sides by 3 )
x = 8
