Question

find the distance between (3,5)and (-5,8)​

Answer 1

$\;\;\underline{\textbf{\textsf{ Given:-}}}$

• Two points are ( 3, 5 ) and ( -5 , 8 )

$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

• The distance between the two points.

$\underline{\:\textsf{ Here, we know the formula :}}$

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

Where,

•$\sf x_1=3$

•$\sf y_1=5$

•$\sf x_2=-5$

•$\sf y_2=8$

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$\underline{\:\textsf{ Now, find the distance :}}$

→$\sf{\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}}$

→$\sf \sqrt{((-5)-3)^2+(8-5)^2}$

→$\sf \sqrt{(-8)^2+(3)^2}$

→$\sf \sqrt{(64+9)}$

→$\sf \sqrt{73}$

$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{ The distance between two point is\textbf{√73cm}}}.$

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