Similar triangles may or may not be congruent
The value of x that makes both triangles similar is 4.5
The equivalent ratio of both triangles is:
[tex]\mathbf{2 : 1 = 9 : x}[/tex]
Express the above equivalent ratio as a fraction
[tex]\mathbf{\frac 12= \frac x9 }[/tex]
Multiply both sides of the fraction by 9
[tex]\mathbf{\frac 12\times 9 = \frac x9 \times 9 }[/tex]
Cancel out common factors
[tex]\mathbf{\frac 12\times 9 = x}[/tex]
Divide 12 by 9
[tex]\mathbf{4.5 = x}[/tex]
Rewrite the above expression as:
[tex]\mathbf{x = 4.5 }[/tex]
Hence, the value of x is 4.5
Read more about similar triangles at:
https://brainly.com/question/14926756
