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  • 15-05-2017
  • Mathematics
contestada

If these triangles are similar, what is the length of side DF?
A) 3 u
B) 2.4 u
C) 2 u
D)5/3 u

If these triangles are similar what is the length of side DF A 3 u B 24 u C 2 u D53 u class=

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WojtekR
WojtekR WojtekR
  • 15-05-2017
Triangles are similar, so:

[tex]\dfrac{|AB|}{|DE|}=\dfrac{|AC|}{|DF|}\\\\\\\dfrac{2,5}{1,5}=\dfrac{4}{|DF|}\\\\\\ 2,5\cdot|DF|=1,5\cdot4\quad|:2,5\\\\\\|DF|=\dfrac{1,5\cdot4}{2,5}=\dfrac{6}{2,5}=\dfrac{6}{2,5}\cdot\dfrac{4}{4}=\dfrac{24}{10}=2\dfrac{4}{10}=\boxed{2,4\,u\qquad[\text{B}]}[/tex]
Answer Link
1400131356 1400131356
  • 29-04-2021

Answer:

B

Step-by-step explanation:

Answer Link

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