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 :

Answer: 8.5 Miles


Pythagorean Theorem

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]


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:

[tex]a^{2} +b^{2} =c^{2}[/tex]

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

[tex]3^{2} +8^{2} =c^{2}[/tex]

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

[tex]c=\sqrt{9+64} \\c=\sqrt{73} \\c=8.5[/tex]

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

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