Question

I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height

Answer 1

• (-2,1)
• (4,3)
• (-2,-5)

Area

`\\ \tt\longmapsto (1)/(2)|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|`

`\\ \tt\longmapsto (1)/(2)|(-2)(3+5)+(4)(-5-1)+(-2)(1-3)|`

`\\ \tt\longmapsto (1)/(2)|-16-24+4|`

`\\ \tt\longmapsto (1)/(2)|-36|`

`\\ \tt\longmapsto 18units^2`