If the triangles are congruent, that means that their sides have the same proportions, so we can write:
[tex]\frac{14}{10}=\frac{x+2}{17.5}[/tex]
Now we have to solve this equation for x:
[tex]14(17.5)\text{ = 10(x + 2)}[/tex]
245 = 10x + 20
10x = 245 - 20 = 225
x = 225/10 = 22.5
x = 22.5
Answer:
x = 22.5
