Question

Area of triangle with points (7,7) (10,3) (7,3)

Answer 1

`Area = 6`

Explanation:

Given

`(x_1,y_1) = (7,7)`

`(x_2,y_2) = (10,3)`

`(x_3,y_3) = (7,3)`

Required

The area

This is calculated as:

`Area = (1)/(2)|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 +x_3y_1 - x_1y_3|`

So, we have:

`Area = (1)/(2)|7*3 - 10*7 + 10*3 - 7*3 +7*7 - 7*3|`

Using a calculator, we have:

`Area = (1)/(2)|-12|`

Remove bracket

`Area = (1)/(2)*12`

`Area = 6`