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]