According to the question, the diagram is as follow
In the diagram the shortest distance between Zoya's office and her home is OC. Right-angle triangle ODC OD = 9 + 6 = 15 CD = AB = 8 According to the Pythagoras' theorem OC2=OD2+DC2 OC2=(15)2+(8)2 OC2=289 OC=17‌km The shortest distance between Zoya's home and her office is 17 km.