taeispopular taeispopular
  • 06-12-2019
  • Mathematics
contestada

A polygon has the following coordinates: A(6,-7), B(1,-7), C(1,-4), D(3,-2), E(7,-2), F(7,-4). Find the length of EF.

Respuesta :

calculista
calculista calculista
  • 13-12-2019

Answer:

The length of segment EF is 2 units

Step-by-step explanation:

we know that

The formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

[tex]E(7,-2), F(7,-4)[/tex]

substitute in the formula

[tex]EF=\sqrt{(-4+2)^{2}+(7-7)^{2}}[/tex]

[tex]EF=\sqrt{(-2)^{2}+(0)^{2}}[/tex]

[tex]EF=\sqrt{4}\ units[/tex]

[tex]EF=2\ units[/tex]

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