Question

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool. If he had ridden directly to the pool, how much distance would he have saved? Round the answer to the nearest tenth of a mile.
Pick one;
1.2 miles
1.8 miles
2.5 miles 
4.2 miles
(Ps: I can't copy the picture but its a right triangle.)

Answer 1

If i'm right the answer is 1.8

Answer 2

For this case we can model the problem as a rectangle triangle.
 We know:
 Length of the sides of the triangle
 We want to know:
 Length of the hypotenuse
 Using the Pythagorean theorem we have:
 $d = \sqrt{3^2 + 3^2}$
 Rewriting the expression we have:
 $d = \sqrt{2(3^2)}$
 $d = 3\sqrt{2}$
 $d = 4.2 miles$
 Then, the distance that he would have saved if he travels directly is:
 $3 + 3 - 4.2 = 1.8 miles$
 Answer:
 he would have saved:
 1.8 miles