Respuesta :

Answer:

[tex]Area = 6[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (7,7)[/tex]

[tex](x_2,y_2) = (10,3)[/tex]

[tex](x_3,y_3) = (7,3)[/tex]

Required

The area

This is calculated as:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 +x_3y_1 - x_1y_3|[/tex]

So, we have:

[tex]Area = \frac{1}{2}|7*3 - 10*7 + 10*3 - 7*3 +7*7 - 7*3|[/tex]

Using a calculator, we have:

[tex]Area = \frac{1}{2}|-12|[/tex]

Remove bracket

[tex]Area = \frac{1}{2}*12[/tex]

[tex]Area = 6[/tex]

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