Question

The vertices of the triangle shown below are (-2,2) (4,-1) and (-2,-3)

Answer 1

Since the vertices of the triangle are (-2, 2), (4, -1), and (-2, -3), the area of the triangle is: B. 15 square units.

In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):

Area of triangle, A = 1/2 × b × h

Where:

• b represent the base area.
• h represent the height.

By substituting the given vertices (-2, 2), (4, -1), and (-2, -3) into the formula for the area of a triangle with coordinates, we have the following;

`Area=(1)/(2) * |x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|\\\\Area=(1)/(2) * |2(-1 + 3)+4(-3-2) - 2(2 +1)|\\\\Area=(1)/(2) * |-4 - 20 -6|\\\\Area=(1)/(2) * |-30|`

Area of triangle = 1/2 × 30

Area of triangle = 15 square units.

Complete Question:

The vertices of the triangle shown below are (-2, 2), (4, -1), and (-2, -3).

What is the area of the triangle?

A 11 square units

B 15 square units

C.13 square units

D. 17 square units