Answer:
[tex]Ratio = \frac{7}{9}[/tex]
Step-by-step explanation:
Given
Triangle 1:
Sides = 14 ; 21
Triangle 2:
Sides = 18; 27
Required
Determine the ratio of the corresponding sides
The ratio is calculated by dividing the corresponding sides of both triangles
[tex]Ratio = \frac{Triangle\ 1}{Triangle\ 2}[/tex]
Taking corresponding sides: 14, for triangle 1 and 18 for triangle 2
[tex]Ratio = \frac{14}{18}[/tex]
Divide the numerator and denominator by 2
[tex]Ratio = \frac{7}{9}[/tex]
Taking corresponding sides: 21, for triangle 1 and 27 for triangle 2
[tex]Ratio = \frac{21}{27}[/tex]
Divide the numerator and denominator by 3
[tex]Ratio = \frac{7}{9}[/tex]
Notice that both ratio are the same;
Hence;
The ratio of both triangles is
[tex]Ratio = \frac{7}{9}[/tex]
