Question

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

Answer 1

12.21 m

Explanation:

Remember Pathagorean Theorem states that
`a^(2) + b^(2) = c^(2)`

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:

`7^(2) + 10^(2) = c^(2)`

Simplify:

49 + 100 =
`c^(2)`

149 =
`c^(2)`

Cancel out the power by taking the square root of both sides:

`√(149) = \sqrt{c^(2)}`

c = 12.21 m