Respuesta :

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]AC^2+BC^2=AB^2[/tex]

BC= x

AB= 10 cm

AC= 8 cm

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Now, Substitute

[tex]8^2+x^2=10^2[/tex]

[tex]64+x^2=100[/tex]

[tex]100-64=x[/tex]

[tex]\sqrt{36}=x^2[/tex]

Square root x^2= x, √(36)=6

[tex]x=6[/tex]

Therefore, the length of x = 6

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