What is the length of the missing side?
(Pythagorean theorem)

Answer:
12.21 m
Step-by-step explanation:
Remember Pathagorean Theorem states that [tex]a^{2} + b^{2} = c^{2}[/tex]
Whats important to know is that c is always the hypotenuse, so in this case the unknown.
a = 7
b = 10
c = ?
Plug in these values for the equation above:
[tex]7^{2} + 10^{2} = c^{2}[/tex]
Simplify:
49 + 100 = [tex]c^{2}[/tex]
149 = [tex]c^{2}[/tex]
Cancel out the power by taking the square root of both sides:
[tex]\sqrt{149} = \sqrt{c^{2}}[/tex]
c = 12.21 m