Respuesta :

Answer:

[tex]\sqrt{20}[/tex]

Step-by-step explanation:

Calculate the length of JK using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = J(1, 5) and (x₂, y₂ ) = K(3, 9)

JK = [tex]\sqrt{(3-1)^2+((9-5)^2}[/tex]

    = [tex]\sqrt{2^2+4^2}[/tex]

    = [tex]\sqrt{4+16}[/tex]

    = [tex]\sqrt{20}[/tex] ≈ 4.47 ( to 2 dec. places )

adioabiola

The length of the lie segment joining points J(1,5) and K(3,9) is; 4.47

According to the question;

  • We are required to determine the length of the line segment JK.

By Pythagoras theorem of linear geometry;

The length of the line segment JK is given as;

  • JK = √(3 -1)² + (9 -5)²

  • JK = √(2² + 4²)

  • JK = √(4 + 16)

  • JK = √20

JK = 4.47.

Read more:

https://brainly.com/question/20385175

Otras preguntas