The two triangles are similar.

What is the value of x?

ok so one triagnles side is 12 and the other is 12+4=16

so one triagnle is 25 percent bigger then the other one so

1.25(5x-2)=6x

distribuite

6.25x-2=6x

so 1/4x=2

x=8

Hope This Helps!!!

x = 4

Step-by-step explanation:

Triangles in the ratio :-

=> 12 : 12 + 4

=> 12 : 16

=> 3 : 4

=> 5x - 2 / 6x = 3 /4

=> 4(5x - 2) = 3(6x)

=> 20x - 8 = 18x

=> 2x = 8

=> x = 4