Find the distance between the points
(2, -5) and (7, 7)​

2 thoughts on “Find the distance between the points<br />(2, -5) and (7, 7)​”

1. Answer:

   13 units

   Step-by-step explanation:

   Given,

   (2 , -5)

   (7 , 7)

   To Find :-

   Distance between the points

   Formula Required :-

   [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

   Solution :-

   [tex]x_1 = 2 , y_1 = – 5[/tex]

   [tex]x_2=7 , y_2=7[/tex]

   [tex]d=\sqrt{(7-2)^2+(7-(-5)^2}[/tex]

   [tex]d=\sqrt{(5)^2+(12)^2}[/tex]

   [tex]d=\sqrt{25+144}[/tex]

   [tex]d=\sqrt{169}[/tex]

   d = 13 units.

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2. Answer:

   [tex]13 units[/tex]

   Step-by-step explanation:

   [tex]\sqrt{{(x_{2}-x_{1})}^{2} + {(y_{2}-y_{1} )}^{2} }[/tex]

   [tex]\sqrt{{(7-2)}^{2} + {(7+5)}^{2} }[/tex]

   [tex]\sqrt{5^{2} + 12^{2}}[/tex]

   [tex]\sqrt{25+144}[/tex]

   [tex]\sqrt{169}[/tex]

   [tex]13 units[/tex]

   Reply