Answer: 7 cm
Step-by-step explanation:
You know the lenght of one of the sides of the smaller triangle.
You also know the lengths of two sides of the larger triangle.
You can see that a corresponding angle is equal
Therefore, by similarity, you can write the expression shown below:
[tex]\frac{36cm}{42cm}=\frac{6cm}{x}[/tex]
Now you must solve for x.
Therefore, you obtain that the value of x is the shown below:
[tex]x(\frac{36cm}{42cm})=6cm\\\\x=\frac{6cm*42cm}{36cm}\\\\x=7cm[/tex]
