Answer:
√13
Step-by-step 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:
[tex]Hypotenuse^{2} =Perpendicular^{2} +Base^{2}[/tex]
[tex]d^{2} =AB^{2} +BC^{2}[/tex]
[tex]d^{2} =2^{2} +3^{2}[/tex]
hence this is the required equation .
[tex]d^{2} =4 +9[/tex]
[tex]d^{2} =13[/tex]
[tex]d=\sqrt{13}[/tex]
Thus the distance, d, that takes him directly back home i.e.AC=√13
