dswicklund
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riangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side YZ measures 5x – 2. Find the value of x.

Respuesta :

ABC is similar to XYZ means that the corresponding sides are proportional, that is :

[tex] \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} [/tex]

so

[tex] \frac{2}{4} = \frac{x+5}{5x-2} = \frac{x+7}{XZ} [/tex] 

from 


[tex] \frac{2}{4} = \frac{x+5}{5x-2} [/tex]

2(5x-2)=4(x+5)

10x-4=4x+20

10x-4x=20+4

6x=24

x= 4 (units) 

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