Answer:
C) 24 square units
Step-by-step explanation
Step 1:-
Given points A(2,3), B(2,-5), C(-4,-3)
The area of the triangle
Area of triangle with vertices
[tex]\frac{1}{2} [ x_{1} ( y_{2}- y_{3})+ x_{2} ( y_{3}- y_{1} + x_{3} ( y_{1}- y_{2})][/tex]...…(1)
Step 2:-
Given vertices are
( x₁ ,y₁) = A(2,3)
( x₂ ,y₂) =B(2,-5),
( x₃ ,y₃)= C(-4,-3)
substitute values in equation (1)
[tex]\frac{1}{2} [|2( -5-(-3))+ 2 ( -3-(3)) + -4 ( 3-(-5))|][/tex]
on calculation, we get
[tex]\frac{1}{2} |-48| = 24 square units[/tex]
Conclusion:-
Area of the triangle is = 24 square units
plot in triangle connected below graph
