contestada

Find the distance between the points. Give an exact answer and an approximation to three decimal
places.
(5,8) and (14,17)

Respuesta :

nuhulawal20

The distance between the two given points (5,8) and (14,17) rounded to three decimal places is 12.728.

What is the distance between the two given points?

Formula for the distance between two points is expressed as;

D = √( ( x₂ - x₁)² + ( y₂ - y₁ )²

Given the data in the question;

For point ( 5,8 )

  • x₁ = 5
  • y₁ = 8

For point ( 14,17 )

  • x₂ = 14
  • y₂ = 17

We plug in the values into the formula above.

D = √( ( x₂ - x₁)² + ( y₂ - y₁ )²

D = √( ( 14 - 5)² + ( 17 - 8 )²

D = √( (9)² + (9)² )

D = √( 81 + 81 )

D = √( 162 )

D = 12.728

The distance between the two given points (5,8) and (14,17) rounded to three decimal places is 12.728.

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