Respuesta :
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:
brainly.com/question/25813512
#SPJ5