Question

Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him directly back home?

Answer 1

The first option

Explanation:

Answer 2

`2^2+3^2=d^2`

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.

`a^2+b^2=c^2`, where,

a and b = Legs of right triangle,

c = Hypotenuse of triangle.

Upon substituting our given values in above equation we will get,

`2^2+3^2=d^2`

Therefore, the equation
`2^2+3^2=d^2` represents the distance, d, that takes Reynaldo directly back home.