cleidisperez23 cleidisperez23
  • 21-12-2018
  • Mathematics
contestada

How do I solve this ?

How do I solve this class=

Respuesta :

gmany
gmany gmany
  • 21-12-2018

Look at the picture.

ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:

[tex]\dfrac{DC}{ZX}=\dfrac{DY}{ZY}[/tex]

DC = x

ZX = 16

DY = a

ZY = a + a = 2a

Substitute:

[tex]\dfrac{x}{16}=\dfrac{a}{2a}[/tex]

[tex]\dfrac{x}{16}=\dfrac{1}{2}[/tex]       multiply both sides by 16

[tex]\boxed{x=8}[/tex]

Answer: CD = 8

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