Question

What is the area of AABC?

B
2
X2
O
2
A
6
O A 26
B 13
OC 226
D
26

Answer 1

`Area = 13`

Explanation:

Given

`A = (4,0)` --
`x1,y1`

`B =(5,5)` --
`x2,y2`

`C =(0,6)` --
`x3,y3`

Required

Area of ABC

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|`

This gives:

`Area = (1)/(2)|4 * 5 - 5 *0 +5*6 - 0*5 + 0*0 - 4*6|`

Using a calculator, we have:

`Area = (1)/(2)|26|`

Remove absolute bracket

`Area = (1)/(2)*26`

`Area = 13`