Question

Triangle DAN is graphed on the set of axes below.
The vertices of ADAN have coordinates D(-6,-1),
A(6,3), and N(-3,10).

Answer 1

The area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

What is the 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 triangle DAN which is graphed on the set of axes.

The vertices of ΔADN have coordinates:

D(-6, -1), A(6, 3), and N(-3, 10)

We can find the area of the triangle using the coordinates of the triangle such as:

$\rm Area \ of \ the \ triangle = \frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]$

Let's denote the coordinates N(-3, 10), D(-6, -1), andA(6, 3), and with

$\rm (x_1, y_1), (x_2, y_2), \ and \ (x_3,y_3)$ respectively.

Put these points in the above expression, we get:

$\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-1-3)-6(3-10)+6(10-(-1))]$

$\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-4)-6(-7)+6(11)]$

$\rm Area \ of \ the \ triangle = \frac{1}{2} [12+42+66]$

$\rm Area \ of \ the \ triangle = \frac{1}{2} [120]$

Area of the triangle = 60square units

Thus, the area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

Learn more about the triangle here:

brainly.com/question/25813512