Respuesta :

darintso

Answer: x=12.49

10^2 + x^2= 16^2

100 + x^2= 256

x^2=156

x=12.49

igoroleshko156

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]