Question

Find the distance the point p(3,4) and the origin.

simple question

Answer 1

$\textbf{Given:}$

$\textsf{Points are (3,4) and (0,0)}$

$\textbf{To find:}$

$\textsf{The distance between (3,4) and (0,0)}$

$\textbf{Solution:}$

$\textbf{Formula used:}$

$\boxed{\begin{minipage}{7cm} \underline{\textsf{Distance formula:}}\\\\\mathsf{The\;distance\;between\;(x_1,y_1)\;and\;(x_2,y_2)\;is}\\\\\mathsf{d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}} \end{minipage}}$

$\textsf{By using distance formula,}$

$\textsf{The distance between (3,4) and (0,0)}$

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

$\mathsf{=\sqrt{(3-0)^2+(4-0)^2}}$

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

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

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

$\mathsf{=5\;units}$

$\therefore\textsf{The distance between (3,4) and (0,0) is 5 units}$

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