Question

the area of the triangle with vertices at (-4,-1),(1,2),(4,-3) is​

Answer 1

Area of a triangle with vertices (x

1

,y

1

) ; (x

2

,y

2

) and (x

3

,y

3

) is

∣

∣

∣

∣

2

x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)

∣

∣

∣

∣

Hence, substituting the points (x

1

,y

1

)=(−4,1) ; (x

2

,y

2

)=(0,2) and (x

3

,y

3

)=(4,−3) in the area formula, we get

Area of given triangle =

∣

∣

∣

∣

2

(−4)(2+3)+(0)(−3−1)+4(1−2)

∣

∣

∣

∣

=

∣

∣

∣

2

−20+0−4

∣

∣

∣

=

2

24

=12 sq units

Answer 2

Answer:

Step-by-step explanation: