On a coordinate plane, triangle a b c is shown. point a is at (0, 0), point b is at (3, 4), and point c is at (3, 2). what is the area of triangle abc?

The area of triangle for the given coordinates is  1.5

Step-by-step explanation:

Given coordinates of triangles as

A = (0,0)

B = (3,4)

C = (3,2)

So, The measure of length AB = a =

Or, a =

Or, a =  

Or, a =  

∴ a = 5 unit

Similarly

The measure of length BC = b =

Or, b =

Or, a =  

Or, b =  

∴ b = 2 unit

And

So, The measure of length CA = c =

Or, c =

Or, c =  

Or, c =  

∴ c = unit

Now, area of Triangle written as , from Heron's formula

A =

and s =

I.e  s =

Or. s =  

So, A =

Or, A =

Or, A = ×

∴  Area of triangle = 1.5

Hence The area of triangle for the given coordinates is  1.5  Answer