Question

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

Answer 1

`\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!!!