Find the exact length of the third side.

Answer:
≈ 10
Step-by-step explanation:
You can use Pythagorean Theorem to solve this:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Plug in the numbers given:
[tex]2^{2} + b^{2} = 10^{2}[/tex]
4 + [tex]b^{2}[/tex] = 100
Subtract 4 from both sides:
4 + [tex]b^{2}[/tex] = 100
-4 -4
_________
[tex]b^{2}[/tex] = 96
Square root both sides:
[tex]\sqrt{b^2} = \sqrt{96}[/tex]
b = 9.79
b ≈ 10