andresjohnston
andresjohnston andresjohnston
  • 03-04-2019
  • Mathematics
contestada

what is the value of X? show all of your work

what is the value of X show all of your work class=

Respuesta :

gmany
gmany gmany
  • 09-04-2019

Answer:

x = 5 cm

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]AB^2+BC^2=AC^2[/tex]

We have

[tex]AB=8\ cm,\ BC=x\ cm,\ AC=\sqrt{89}\ cm[/tex]

Substitute:

[tex]8^2+x^2=(\sqrt{89})^2\qquad\text{use}\ (\sqrt{a})^2=a\ \text{for}\ a\geq0\\\\64+x^2=89\qquad\text{subtract 64 from both sides}\\\\x^2=25\to x=\sqrt{25}\\\\x=5\ cm[/tex]

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