Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3)

A=25 (Rounded)

Step-by-step explanation:

The first step is to find the length of BA which is the base, then you have the find the length of CD, the hight.

To find the distance, you need to use the distance formula which is

(It does not matter if A is x1 or is B is x1, it just has to remain consistent)

I am going to first find BA

Next, subtract accordingly

Once you do that, you want to square -6 and -6 which will give you

Now add 36 with 36 which will leave you with

Do that same thing for CD. If you did it right, you should be left with

to find the area of a triangle, you must use the formula

The Base is (BA) and the Hight is (CD). substitute to get

Multiply the Base by the Hight to get

Divide 1,296 by 2 to get

Which is equal to

Rounding it to the nearest whole number you get

A=25

Hope this helps. Feel free to ask any follow-up questions.

Have a good day! :)

think the answer would beb