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Triangle ABC is similar to triangle DEF. Side AB is the longest side of ABC. It measures 12 centimeters. Side DE is the longest side of DEF. It measures 8 centimeters. What is the scale factor that takes DEF to ABC?

Respuesta :

since these are similar triangles, all sides have a scale factor in order to become the other

since you are being asked for the scale factor from DEF to ABC, the equality should be like this

[tex]8x=12[/tex]

solve for x

[tex]x=\frac{12}{8}=\frac{3}{2}[/tex]

WHAT WOULD BE THE SCALE FACTOR THAT TAKES ABC TO DEF?

apply same procedure as before, but the initial value should be 12

[tex]\begin{gathered} 12x=8 \\ x=\frac{8}{12}=\frac{2}{3} \end{gathered}[/tex]

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