Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms

Write the ratio of corresponding sides for the similar triangles:

Two triangles are Similar if the only difference between them is size. So, in similar triangles, corresponding sides are always in the same ratio. In mathematics, the ratio is a relationship between two numbers indicating how many times the first number contains the second. So, according to this statement, given the figure below. We have six ratio:

(1)

(2)

(3) 

(4) 

(5)

(6)

Reduce the ratio to lowest terms:

As shown in the figure the lengths of Δa'b'c' are greater than triangle Δabc, therefore the lowest terms are given by the ratio (1), (2) and (3) given that:

Its equal to d=7.07in