Question
Find the distance between the points:
$A(9, 3)$ and $B(15, 11)$
$A(9, 3)$ and $B(15, 11)$
✓
Answer
The given points are$ A(9, 3)$ and $B(15, 11)$
Then, $(x_1 = 9, y_1 = 3)$ and ($x_2 = 15$ and $y_2 = 11$)
$\therefore\text{AB}=\sqrt{(\text{x}_2-\text{x}_1)^2+(\text{y}_2-\text{y}_1)^2}$
$=\sqrt{(\text{15}-\text{9})^2+(\text{11}-\text{3})^2}$
$=\sqrt{\text{6}^2+\text{8}^2}$
$=\sqrt{\text{36}+\text{64}}$
$=\sqrt{\text{100}}=10\text{ units}.$
Then, $(x_1 = 9, y_1 = 3)$ and ($x_2 = 15$ and $y_2 = 11$)
$\therefore\text{AB}=\sqrt{(\text{x}_2-\text{x}_1)^2+(\text{y}_2-\text{y}_1)^2}$
$=\sqrt{(\text{15}-\text{9})^2+(\text{11}-\text{3})^2}$
$=\sqrt{\text{6}^2+\text{8}^2}$
$=\sqrt{\text{36}+\text{64}}$
$=\sqrt{\text{100}}=10\text{ units}.$
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