Question

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

Answer 1

√13

Explanation:

Given :Reynaldo rode his bike 2 miles north and 3 miles east.

To Find :Which equation should he use to find the distance, d, that takes him directly back home

Solution:

Refer the attached figure.

Reynaldo rode his bike 2 miles north i.e. AB = 2 miles

Then he rode 3 miles east i.e. BC=3 miles

now to find the distance, d, that takes him directly back home i.e.AC

To find AC we use Pythagorean theorem:

`Hypotenuse^(2) =Perpendicular^(2) +Base^(2)`

`d^(2) =AB^(2) +BC^(2)`

`d^(2) =2^(2) +3^(2)`

hence this is the required equation .

`d^(2) =4 +9`

`d^(2) =13`

`d=√(13)`

Thus the distance, d, that takes him directly back home i.e.AC=√13

Answer 2

Pythagorean theorem - a^2 + b^2 = c^2

2^2+3^2 = d^2
d^2 = 13
d= square root of 13