Using the Pythagorean Theorem, it is found that he would travel 92 miles farther by walking from his home to his friend's house and then from his friend's house to work than he would travel by walking from his home directly to work.
The Pythagorean Theorem states that, on a right triangle, the length of the hypotenuse squared is the sum of the length of each leg squared, that is:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Walking from his home to his friend's house and then from his friend's house to work, Jardon travels 240 + 120 = 360 yards.
Directly from his home to work, the distance is the hypotenuse of a right triangle with legs [tex]l_1 = 240, l_2 = 120[/tex], hence:
[tex]d^2 = 240^2 + 120^2[/tex]
[tex]d = \sqrt{240^2 + 120^2}[/tex]
[tex]d = 268[/tex]
360 - 268 = 92
He would travel 92 miles farther by walking from his home to his friend's house and then from his friend's house to work than he would travel by walking from his home directly to work.
You can learn more about the Pythagorean Theorem at https://brainly.com/question/654982
