Calculate the area of a triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2). A. 14 square units b. 15 square units c. 18 square units d. 20 square units

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Answer:

15

Step-by-step explanation:

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The area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) option (b) is correct.

What is a triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle ABC with altitude CD.

The coordinates for the triangle are A (-3, -4), B (-6, 2), C (0, 0), and

D (-4, -2)

From the figure, the distance between C and D will be the height of the triangle:

We can calculate the distance between the points by using the distance formula:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

h = √20

b = √45

Area of triangle = (1/2)bh = (1/2)√20×√45

= (1/2)30

= 15 square units

Thus, the area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) option (b) is correct.

Learn more about the triangle here:

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