Find the distance between the points $(1,2)$ and $(7,10)$.

Step-by-step solution

1. Step 1: Find the difference in x‑coordinates: $7-1=6$.
2. Step 2: Square it: $6^2=36$.
3. Step 3: Find the difference in y‑coordinates: $10-2=8$.
4. Step 4: Square it: $8^2=64$.
5. Step 5: Add the squares: $36+64=100$.
6. Step 6: Take the square root: $\sqrt{100}=10$.
7. Step 7: The distance is 10 units.

Concept tested: Distance formula

Published 16 October 2026 · How this solution was prepared and checked