Question
Andy lives on Pythagorean street, which is 2000m long. His friends house is on ratio avenue,which is 1600m long. Round to the nearest meter. Determine the distance that Andy walks if he goes along Pythagorean street than ratio avenue to his friends house. What is the distance if Andy takes the diagonal shortcut?
Answers
GPT 3.5
If Andy walks along Pythagorean street and then along Ratio Avenue to his friend's house, he would walk a total distance of 2000m + 1600m = 3600m.
If Andy takes the diagonal shortcut, he would be walking along the hypotenuse of a right-angled triangle with sides of 2000m and 1600m. Using the Pythagorean theorem (a^2 + b^2 = c^2), where a = 2000m and b = 1600m:
2000^2 + 1600^2 = c^2
4000000 + 2560000 = c^2
6560000 = c^2
c = √6560000
c ≈ 2563.5m
Therefore, the distance Andy walks if he takes the diagonal shortcut would be approximately 2563.5m.
If Andy takes the diagonal shortcut, he would be walking along the hypotenuse of a right-angled triangle with sides of 2000m and 1600m. Using the Pythagorean theorem (a^2 + b^2 = c^2), where a = 2000m and b = 1600m:
2000^2 + 1600^2 = c^2
4000000 + 2560000 = c^2
6560000 = c^2
c = √6560000
c ≈ 2563.5m
Therefore, the distance Andy walks if he takes the diagonal shortcut would be approximately 2563.5m.