Answer:
Length of RT = 6 mm
Step-by-step explanation:
When the triangles are similar the ratio of corresponding sides are equal.
In given triangles we have ( we can take ratio of two sides also)
[tex]\frac{JI}{RT}=\frac{HI}{SR}[/tex]
We need to find length of RT = x
While length of JI= 8 mm
Length of HI = 12 mm
Length of SR = 9 mm
Putting values in formula and finding length of RT
[tex]\frac{8}{x}=\frac{12}{9} \\Cross\:Multiply\\9\times 8= 12\times 8\\72=12x\\x=\frac{72}{12}\\x=6\:mm[/tex]
So, Length of RT = x = 6 mm
