SSC JE Civil Engineering 23-Mar-2021 Shift 2 Paper

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
${\mathrm{OC}}^2={\mathrm{OD}}^2+{\mathrm{DC}}^2$
${\mathrm{OC}}^2={\left(15\right)}^2+{\left(8\right)}^2$
${\mathrm{OC}}^2=289$
$\mathrm{OC}=17\mathrm{km}$
The shortest distance between Zoya's home and her office is 17 km.