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
~
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
~
