Question

find the distance between the points A(8,-3)and B(0,9​

Answer 1

$\huge\mathtt{\fbox{SOLUTION :</p><p>}}$

Given , the two points are A(8,-3)and B(0,9)

We known that , the distance between two points is given by

$\sf\large \fbox{D = \sqrt{ {( x_{2} - x_{1}) ^{1} + ( y_{2} - y_{1}) }^{2}} \: \: }$

Substitute the known values , we get

$\sf \hookrightarrow D = \sqrt{ {(0 - 8)}^{2} + {(9 - ( - 3))}^{2} } \\ \\ \sf \hookrightarrow D = \sqrt{ {(8)}^{2} + {(12)}^{2} } \\ \\\sf \hookrightarrow D = \sqrt{64 + 144} \\ \\\sf \hookrightarrow D = \sqrt{ 208} \\ \\\sf \hookrightarrow D = 14.2 \: \: units$

Hence, 14.2 units is the distance between two points