Question

To get from the stone to the tree you must avoid walking through a pond. To avoid the pond, you must walk 34 yards north

and 41 yeards west. Approximately how many yards would be saved if it were possible to walk through the pond?
Explain step-by-step using the Pythagorean theorem

Answer 1

Rounded, 22 yards.

Explanation:

The pythagorean theorem states: a^2 + b^2 = c^2

a = 34, squared = 1156

b = 41, squared = 1681

Add those to get 2837.

√2837 = 53.26, rounded.

34 + 41 = 75

75 - 53 = 22

22 yards is your answer.