Question

Pythagorean theorem pls help :P

Answer 1

A)
`√(146)`

Explanation:

The Pythagorean Theorem states that for a right triangle with side lengths
`a` and
`b`, and a hypotenuse of
`c`, the equation that relates to every side of the triangle is
`a^2+b^2=c^2`.

In this case, we'll let
`a=√(82)\:\text{mi}` and
`b=8\:\text{mi}`, and we can solve for the hypotenuse
`x`:

`a^2+b^2=c^2\\\\√(82)^2+8^2=x^2\\\\82+64=x^2\\\\146=x^2\\\\√(146)=x`

Therefore, the missing side of the triangle is
`√(146)\: \text{mi}`.

Answer 2

`√(146)`

`\sqrt{√(82)^2 + 8^2} = √(146) (12.08)`