Question

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

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{13} \: \: units}}}}}$

Step-by-step 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

⇒$\sf{ \sqrt{9 + 4} }$

Add the numbers

⇒$\sf{ \sqrt{13} }$ units

Hope I helped !

Best regards!!!