35. Which distance is shorter, kayaking from \( A \) to \( B \) to \( C \), or walking from \( A \) to \( X \) to \( C \) ? kayaking or walking

To determine which distance is shorter, we need to analyze the distances involved in both routes: kayaking from \( A \) to \( B \) to \( C \) and walking from \( A \) to \( X \) to \( C \). ### Known Conditions 1. Distance from \( A \) to \( B \): \( d_{AB} \) 2. Distance from \( B \) to \( C \): \( d_{BC} \) 3. Distance from \( A \) to \( X \): \( d_{AX} \) 4. Distance from \( X \) to \( C \): \( d_{XC} \) ### Step-by-Step Solution 1. **Calculate the total distance for kayaking:** \[ D_{kayaking} = d_{AB} + d_{BC} \] 2. **Calculate the total distance for walking:** \[ D_{walking} = d_{AX} + d_{XC} \] 3. **Compare the two distances:** We need to determine if \( D_{kayaking} < D_{walking} \) or \( D_{walking} < D_{kayaking} \). ### Conclusion To conclude which distance is shorter, we need the specific values for \( d_{AB} \), \( d_{BC} \), \( d_{AX} \), and \( d_{XC} \). If you provide these distances, I can help you calculate and compare them.