Respuesta :

Given

To find the scale factor of triangle DEF to triangle ABC.

Explanation:

It is known that,

When two triangles are similar the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

From, the figure

[tex]\Delta ABC\text{ is similar to }\Delta DEF[/tex]

That implies,

[tex]\begin{gathered} Scale\text{ }factor=\frac{75}{15} \\ =\frac{5}{1} \\ =5:1 \end{gathered}[/tex]

Hence, the scale factor of triangle DEF to triangle ABC is 5:1.

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