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) [tex]\frac{a}{a'}[/tex]
(2) [tex]\frac{b}{b'}[/tex]
(3) [tex]\frac{c}{c'}[/tex]
(4) [tex]\frac{a'}{a}[/tex]
(5) [tex]\frac{b'}{b}[/tex]
(6) [tex]\frac{c'}{c}[/tex]
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:
[tex]a\ \textless \ a'[/tex]
[tex]b\ \textless \ b'[/tex]
[tex]c\ \textless \ c'[/tex]
