staeckeremma staeckeremma
  • 09-12-2020
  • Mathematics
contestada

If the figures below are similar with a scale factor
of 6:5, find the value of x.

If the figures below are similar with a scale factor of 65 find the value of x class=

Respuesta :

eudora eudora
  • 15-12-2020

Answer:

x = 33.6

Step-by-step explanation:

Formula to be used for the scale factor,

Scale factor = [tex]\frac{\text{Dimension of the big triangle}}{\text{Dimension of the small triangle}}[/tex]

From the figure attached,

Side length of the big triangle = x

Corresponding side length of small triangle = 28

Scale factor = [tex]\frac{6}{5}[/tex]

[tex]\frac{6}{5}=\frac{x}{28}[/tex]

x = [tex]\frac{6\times 28}{5}[/tex]

x = 33.6

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