Answer:
Step-by-step explanation:
Solution,
E ( 3 , 7 ) ⇒ ( x₁ , y₁ )
F ( 6 , 5 ) ⇒( x₂ , y₂ )
Finding the distance between these points:
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
plug the values
⇒[tex] \sf{ \sqrt{ {(6 - 3)}^{2} + {(5 - 7)}^{2} } }[/tex]
Calculate the sum or difference
⇒[tex] \sf{ \sqrt{ {3}^{2} + {( - 2)}^{2} } }[/tex]
Evaluate the power
⇒[tex] \sf{ \sqrt{9 + 4} }[/tex]
Add the numbers
⇒[tex] \sf{ \sqrt{13} }[/tex] units
Hope I helped !
Best regards!!!
