Answer:
[tex]2^2+3^2=d^2[/tex]
Step-by-step explanation:
Please find the attachment.
Let d represent the distance that takes him directly back home.
We have been given that Reynaldo rode his bike 2 miles north and 3 miles east.
Upon looking at our attachment we can see that distance covered by Reynaldo forms a right triangle, where d is the hypotenuse.
To solve for d we will use Pythagoras theorem.
[tex]a^2+b^2=c^2[/tex], where,
a and b = Legs of right triangle,
c = Hypotenuse of triangle.
Upon substituting our given values in above equation we will get,
[tex]2^2+3^2=d^2[/tex]
Therefore, the equation [tex]2^2+3^2=d^2[/tex] represents the distance, d, that takes Reynaldo directly back home.
