Respuesta :

Answer:

≈ 5

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Now plug in the numbers into the formula:

[tex]6^{2} + b^{2} = 8^{2}[/tex]

36 + [tex]b^{2}[/tex] = 64

Subtract 36 from both sides:

36 + [tex]b^{2}[/tex] = 64

-36        -36

_________

[tex]b^{2}[/tex] = 28

Square both sides:

[tex]\sqrt{b^2} = \sqrt{28}[/tex]

b = 5.29

b ≈ 5