Question

Plot and connect the points A(2,3), B(2,-5), C(-4,-3), and find the area of the triangle it forms. A. 18 square units B. 16 square units C. 24 square units D. 14 square units

Answer 1

C.24

Explanation:

Answer 2

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

`(1)/(2) [ x_(1) ( y_(2)- y_(3))+ x_(2) ( y_(3)- y_(1) + x_(3) ( y_(1)- y_(2))]`...…(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)

`(1)/(2) [|2( -5-(-3))+ 2 ( -3-(3)) + -4 ( 3-(-5))|]`

on calculation, we get

`(1)/(2) |-48| = 24 square units`

Conclusion:-

Area of the triangle is = 24 square units

plot in triangle connected below graph