Question

1 Find the distance of the point (7,8) from the origin.

Answer 1

Given

Two points (7,8) and origin (0,0)

To Find

Distance of point from the origin

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Step by step Explanation

1. We have given point (7,8) which means it is given x ,y value and another point is origin which is (0,0)
2. (7,8) be the $x_{1} ,y_{1}$ and (0,0) be the $x_{2} ,y_{2}$
3. Now ,to find distance we have to use distance formulas.

$\sf\boxed{ Distance\: Formula= \sqrt{ {(x_{2} - x_{1})}^{2} + {(y_{2 }- y_{1})}^{2}}}$

Let D be the distance

Points A(7,8) and B(0,0)

$\sf x_{1}=7 ,y_{1}=8$

$\sf x_{2} =0,y_{2}=0$

$\sf \: D = \sqrt{ {(0 - 7)}^{2} + {(0 - 8)}^{2} }$

$\sf \: D = \sqrt{49 + 64} = \sqrt{113}$

∴Distance of the point (7,8) from the origin is $\bold{\red{√113\: units }}$

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