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

Answer:

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

Step-by-step 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:

$c=\sqrt{9+64} \\c=\sqrt{73} \\c=8.5$

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