Question

Triangle IHJ is similar to triangle RST. What is the length of side RT?

Answer 1

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)

$\frac{JI}{RT}=\frac{HI}{SR}$

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

$\frac{8}{x}=\frac{12}{9} \\Cross\:Multiply\\9\times 8= 12\times 8\\72=12x\\x=\frac{72}{12}\\x=6\:mm$

So, Length of RT = x = 6 mm