Question

Triangle IHJ is similar to triangle RST.



What is the length of side RT?

Answer 1

Length of RT = 6 mm

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)

`(JI)/(RT)=(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

`(8)/(x)=(12)/(9) \\Cross\:Multiply\\9* 8= 12* 8\\72=12x\\x=(72)/(12)\\x=6\:mm`

So, Length of RT = x = 6 mm