Respuesta :
False. The only requirement of the SSS similarity is the corresponding sides need to have the same ratio with each other.
For example, one triangle has the side lengths 3, 4, 5 and the other one has 6, 8, 10.
To find if SSS works here, we need to set their ratio equal to each other.
[tex] \frac{3}{6} = \frac{4}{8} = \frac{5}{10} [/tex]
Simplify: [tex] \frac{1}{2} = \frac{1}{2} = \frac{1}{2}[/tex]
We can see that all sides have the same ratio as the others; so, these triangles have a similarity of SSS.
For example, one triangle has the side lengths 3, 4, 5 and the other one has 6, 8, 10.
To find if SSS works here, we need to set their ratio equal to each other.
[tex] \frac{3}{6} = \frac{4}{8} = \frac{5}{10} [/tex]
Simplify: [tex] \frac{1}{2} = \frac{1}{2} = \frac{1}{2}[/tex]
We can see that all sides have the same ratio as the others; so, these triangles have a similarity of SSS.