Find distance of point A( 6, 8 ) from origin: - Vidyadip

Question

Find distance of point A( 6, 8 ) from origin:

✓

Answer

$\text { Let } A\left(x_1, y_1\right)=A(6,8), O\left(x_2, y_2\right)=O(0,0)$

$\therefore x_1=6, y_1=8, x_2=0, y_2=0$

By distance formula,

$d(A, O)=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{(0-6)^2+(0-8)^2}$

$=\sqrt{36+64}$

$=\sqrt{100}$

$=10 \mathrm{~cm}$

$\therefore$ The distance of point $A(6,8)$ from origin is $10 \mathrm{~cm}$.

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