Question

the distance between two points
A(4, 3) and B(8, 6) is-​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Points are A(4,3) and B(8,6)}$

$\underline{\textbf{To find:}}$

$\textsf{The distance between the points A and B}$

$\underline{\textbf{Solution:}}$

$\underline{\textsf{Formula used:}}$

$\mathsf{The\;distance\;between\;(x_1,y_1)\;and\;(x_2,y_2)\;is}$

$\boxed{\mathsf{d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}}}$

$\underline{\textsf{The distance between A and B:}}$

$\mathsf{d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}}$

$\mathsf{=\sqrt{(4-8)^2+(3-6)^2}}$

$\mathsf{=\sqrt{(-4)^2+(-3)^2}}$

$\mathsf{=\sqrt{16+9}}$

$\mathsf{=\sqrt{25}}$

$\mathsf{=5\;units}$

$\therefore\textsf{The distance between A and B is 5 units}$

$\underline{\textbf{Find more:}}$

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