Pythagoras theorem shows the relations between the three sides of the right triangle. The distance that Anthony will ride down Pine avenue is 12 miles.
The Pythagoras theorem tells us the relationship between the three sides of the right-angled triangle. The relationship can be written as,
[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]
As it is given that Anthony traveled 5 miles on Forrest Lane and 13 miles up Cedar Drive, therefore, the distance traveled by Anthony will be in the form of a right-angled triangle.
Now, if we look at the sides of the triangles, the third side of the triangle it can be written as,
[tex]Hypotenuse^2 = Base^2 + Perpendicular^2\\\\13^2 = x^2 +5 ^2\\\\169 = x^2 +25\\\\144 = x^2\\\\x = 12[/tex]
Hence, the distance that Anthony will ride down Pine avenue is 12 miles.
Learn more about Pythagoras Theorem:
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