From scnool, you biked 1.2 miles due south and then 0.5 mile due east to your house. If you had biked home on the street that runs directly diagonal from your school to your house, how many fewer miles would you have biked?

BolkowN

BolkowN

Answered question

2021-03-08

From scnool, you biked 1.2 miles due south and then 0.5 mile due east to your house. If you had biked home on the street that runs directly diagonal from your school to your house, how many fewer miles would you have biked?

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-03-09Added 102 answers

The actual distance you biked is 1.2+0.5=1.7 miles.
The length of the diagonal, x, is the hypotenuse of the right triangle formed by the 2 given distances as the legs. By Pythagorean Theorem, 1.22+0.52=x2
1.44+0.25=x2
1.69=x2
1.69=x
x=1.3 miles
So, you would have bikes 1.7−1.3=0.4 miles fewer.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Answer is given below

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