Robert leaves his home to go to his office. he drives 6 km north and then 4km due east. approximatley what is the shortest distance from roberts home to his office, in kilometers

Visualize the distance traveled as the two side lengths of a right triangle, for this we can use the pythagorean theorem to solve for the hypotenuse (which is the shortest distance from his house to his office).

a²+b²=c²

6²+4²=c²

36+16=c²

52=c²

7.21=c

Answer=7.21km