Question

The points Q(-1,1),R(2,-3), and S(-1,-3) are the vertices of a triangle. Find the area of the triangle

Answer 1

chicken

Explanation:

Answer 2

The area of the triangle with points Q(-1,1),R(2,-3), and S(-1,-3) is equal to 6 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 into the formula for the area of a triangle with coordinates, we have the following;

`A=(1)/(2) * |x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|\\\\A=(1)/(2) * |-1(-3 + 3) + 2(-3 - 1) + (-1)(1 +3)|\\\\A=(1)/(2) * |0 -8 - 4|\\\\A=(1)/(2) * |-12|`

Area of triangle = 1/2 × 12

Area of triangle = 6 square units.