What is the area of a triangle whose vertices are R (-4,2), S (1,2), and T (-5,-4)

The answer to your question is 30 u²

Step-by-step explanation:

Vertices

R (-4, 2)

S (1, 2)

T (-5, - 4)

Find the area using matrices X Y

R - 4 2

S 1 2

T - 5 - 4

R - 4 2

=| (-4 x 2) + (1 x - 4) + (-5 x 2) - [ (-4 x - 4) + (-5 x 2) + (1 x 2) ]|

= |-8 - 4 - 10 - [ 16 - 10 + 2]|

= |-22 - [ 8]|

= |-22 - 8|

= |-30|

= |-30|

Area = 30 u²