Question

Sid lives 3 miles north and 8 miles west of school. What is the direct distance from Sid's house to school? ≈ 11 miles ≈ 5 miles ≈ 36.5 miles ≈ 8.5 miles

Answer 1

Answer: 8.5 Miles

Pythagorean Theorem

`a^(2)`+
`b^(2)`=
`c^(2)`

Answer 2

The direct distance from Sid´s house to school is 8.5 miles.

Explanation:

In this case we have to use a geometric law the law of Pythagoras, this could give calculate us the hypotenuse of a triangule having to known sides, this is:

`a^(2) +b^(2) =c^(2)`

Now we can replace the side a=3 miles and b=8 miles, this is:

`3^(2) +8^(2) =c^(2)`

Having this we can clear the c, and have the answer:

`c=√(9+64) \\c=√(73) \\c=8.5`

So the direct distance from Sid´s house to school is 8.5 miles.