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If the perimeter of triangle ABC is 27.6 cm, what is the perimeter, in centimeters, of triangle BCD. Show all work!

I NEED HELP please!

If the perimeter of triangle ABC is 276 cm what is the perimeter in centimeters of triangle BCD Show all work I NEED HELP please class=

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HEYA

since perimeter of ΔABC=27.6cm

AB=9.6cm

BC=6cm

therefore AC= 12cm

[tex]27.6cm - 9.6cm - 6cm = 12cm[/tex]

since ΔABC~ΔBCD

therefore the sides will be proportional

let the perimeter of ΔBCD=x

[tex] \frac{9.6}{6} = \frac{27.6}{x} [/tex]

[tex]x = \frac{27.6 \times 6}{9.6} cm[/tex]

x=17.25cm

hope it helps you mate thanks for the question and if possible please mark it as brainliest