calculate the area of triangle abc with altitude cd, given a (-3,-4), b(-6, 2), (0, 0), and d(-4,-2).

Step-by-step explanation:

step 1

Plot the figure to better understand the problem

we have

using a graphing tool

The graph in the attached figure

step 2

The area of the given triangle is equal to

where

---> is the base of triangle

---> is the height of triangle

the formula to calculate the distance between two points is equal to

step 3

Find the distance AB

substitute the values

step 4

Find the distance CD

substitute the values

step 5

Find the area of triangle ABC