Answer:
[tex]x=6[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem, [tex]a^{2} +b^{2} =c^{2}[/tex].
[tex]a=8[/tex] [tex]b=x[/tex] [tex]c=10[/tex]
**Hypotenuse(Longest side) is always identified as c.
[tex](8)^{2}+(x)^{2} =(10)^{2}[/tex]
[tex]64+x^{2} =100[/tex]
Use subtraction on both sides.
[tex]64-64+x^{2} =100-64[/tex]
[tex]0+x^{2} =36\\x^{2} =36[/tex]
Isolate x by using square root on both sides.
[tex]\sqrt{x^{2} } =\sqrt{36}[/tex]
[tex]x=6[/tex]
