Respuesta :

Answer:

HI = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{HI}{TS}[/tex] = [tex]\frac{JI}{RS}[/tex] , substitute values

[tex]\frac{HI}{3}[/tex] = [tex]\frac{25}{5}[/tex] = 5

Multiply both sides by 3

HI = 15
The answer is 15

RS = JI so TS = HI

RS = 3 so 5*3 = 15

HI = 15