natattack81
natattack81 natattack81
  • 28-04-2022
  • Mathematics
contestada

Calculate the length labeled X

Image above!

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER

Calculate the length labeled X Image above SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER class=

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andytran027
andytran027 andytran027
  • 28-04-2022

Answer:

[tex]x=\sqrt{120}[/tex]

Step-by-step explanation:

Solving for two legs of triangle first.

Top Triangle
[tex]a^2+b^2=c^2[/tex]

[tex]15^2+b^2=19^2[/tex]

[tex]b^2=19^2-15^2[/tex]

[tex]b^2=361-225\\b=\sqrt{136}[/tex]

Bottom Triangle

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+b^2=(\sqrt{136} )^2\\16+b^2=136\\b^2=120\\b=\sqrt{120}[/tex]

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