Find the distance between the points $(3, 4)$ and $(6, 8)$ .

easy 1 mark Class 5 · Mathematics · Does it Look the Same

Answer

The correct answer is 5 — Therefore the distance is $5$ .

Step-by-step solution

Use the distance formula: $d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$ .
Compute the differences: $x_{2} - x_{1} = 6 - 3 = 3$ and $y_{2} - y_{1} = 8 - 4 = 4$ .
Square these: $3^{2} = 9$ and $4^{2} = 16$ .
Add the squares: $9 + 16 = 25$ .
Take the square root: $25 = 5$ .
Therefore the distance is $5$ .

Common mistake: Subtracting coordinates in the wrong order or forgetting to square

Concept tested: Distance between two points