ddmonsterhigh
ddmonsterhigh ddmonsterhigh
  • 25-10-2018
  • Mathematics
contestada

Find the value of y.

8

16

8sqrt3

4sqrt3

Find the value of y 8 16 8sqrt3 4sqrt3 class=

Respuesta :

gmany
gmany gmany
  • 31-12-2018

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

[tex]\dfrac{DC}{DA}=\dfrac{DB}{DC}[/tex]

Substitute:

[tex]\dfrac{y}{4}=\dfrac{12}{y}[/tex]     cross multiply

[tex](y)(y)=(4)(12)\\\\y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\cdot\sqrt3\\\\\boxed{y=4\sqrt3}[/tex]

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