alyciacln
alyciacln alyciacln
  • 11-12-2020
  • Mathematics
contestada

triangle FGH is similar to triangle DEF. solve for p

triangle FGH is similar to triangle DEF solve for p class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 16-12-2020

Answer:

p = 16

Step-by-step explanation:

Given that ∆FGH is similar to ∆DEF, it follows that the ratio of their corresponding side lengths would be equal. Therefore:

[tex] \frac{FH}{DF} = \frac{FG}{DE} [/tex]

FH = 12

DF = p

FG = 24

DE = 32

Plug in the values

[tex] \frac{12}{p} = \frac{24}{32} [/tex]

Cross multiply

[tex] 12*32 = 24*p [/tex]

[tex] 384 = 24p [/tex]

Divide both sides by 24

[tex] \frac{384}{24} = \frac{24p}{24} [/tex]

[tex] 16 = p [/tex]

p = 16

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