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Find the distance between the points E(3,7) and F(6,5)

User Fjsj
by
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1 Answer

3 votes

Answer:


\boxed{ \bold{ \huge{ \boxed{ \sf{ √(13) \: \: units}}}}}

Explanation:

Solution,

E ( 3 , 7 ) ⇒ ( x₁ , y₁ )

F ( 6 , 5 ) ⇒( x₂ , y₂ )

Finding the distance between these points:


\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } }}

plug the values


\sf{ \sqrt{ {(6 - 3)}^(2) + {(5 - 7)}^(2) } }

Calculate the sum or difference


\sf{ \sqrt{ {3}^(2) + {( - 2)}^(2) } }

Evaluate the power


\sf{ √(9 + 4) }

Add the numbers


\sf{ √(13) } units

Hope I helped !

Best regards!!!

User Nikhil George
by
8.1k points

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