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 miles1.8 miles2.5 miles 4.2 miles(Ps: I can't copy the picture but its a right triangle.)

Answer:Keith travelled 4.2 miles if he had ridden directly to the poolStep-by-step explanation:Given: In a right triangle, the distance from the angle with measure 90 degrees to Keith's pool is 3 miles, and the distance to the pool is 3 miles.To find: Distance travelled by Keith if he moved directly from house to swimming poolSolution:ΔABC is a right angled triangle.Using Pythagoras theorem, square of hypotenuse is equal to sum of squares of base and perpendicular [tex]AC^2=AB^2+BC^2\\=3^2+3^2\\=9+9\\=18\\\Rightarrow AC=\sqrt{18}=4.2\,\,miles[/tex]Keith travelled 4.2 miles if he had ridden directly to the pool