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arron takes his dog for a walk afer school, he walks 5 blocks east and then 4 blocks north. if he was able to take a direct route home, how many blocks would he need to travel

Sagot :

Azailia

Hi!

We are given the information found in the picture below.

Note: The directions aren't correct, but the triangle works for this problem.

The "direct path" is the hypotenuse of this triangle.

To find this, we use the Pythagorean Theorem, where [tex]a[/tex] and [tex]b[/tex] are 2 legs of the triangle, and [tex]c[/tex] is the hypotenuse, aka the longest side of any triangle:

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

We know [tex]a[/tex] and [tex]b[/tex] and want [tex]c[/tex]

[tex]4^2+5^2=c^2[/tex]

[tex]16+25=c^2[/tex]

[tex]41=c^2[/tex]

Therefore, [tex]c[/tex] is approximately [tex]6.403[/tex]

View image Azailia
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