Step-by-step explanation:
Step 1: Use Pythagorean Theorem
[tex]a^2 + b^2 = c^2[/tex]
[tex]10^2 + b^2 = 16^2[/tex]
[tex]100 + b^2 = 256[/tex]
[tex]100-100 + b^2 = 256-100[/tex]
[tex]b^2 = 156[/tex]
[tex]\sqrt{b^2}=\sqrt{156}[/tex]
[tex]b = 12.48999599679679641169378624188[/tex]
[tex]b = 12.49[/tex]
Answer: [tex]12.49[/tex]
