Respuesta :

Hrishii

Answer:

36 ft

Step-by-step explanation:

  • [tex]\triangle ABC\sim\triangle DEF[/tex] (Given)

  • Perimeters and corresponding sides of similar triangles are in proportion

  • [tex]\implies\frac{P( \triangle ABC)}{P(\triangle DEF)}=\frac{BC}{EF}[/tex]

  • [tex]\implies\frac{P( \triangle ABC)}{12}=\frac{15}{5}[/tex]

  • [tex]\implies\frac{P( \triangle ABC)}{12}=3[/tex]

  • [tex]\implies P( \triangle ABC) =12(3)[/tex]

  • [tex]\implies P( \triangle ABC) =36 \: ft[/tex]