Question

Plot connects the points A(-5, 4) B (1, -6) C (-5, -6) and find the area of the triangle formed

Answer 1

A) 30 square units

Explanation

Step 1

the area of a triangle is given by:

$\text{Area}_{triangle}=\frac{base\cdot heigth}{2}$

so

b)as the points A and b are on the smae x coordinate, we can find the length just by subtractin the y coordinates, so

Let

$\begin{gathered} AC=A_y-C_y \\ AC=4-(-6)=10 \\ AC=10 \end{gathered}$

hence

height = 10

b) same for line AB, as the line is horizontal,jsut subtract the x components of the initial and end point to find the measure

$CB=base=B_x-C_x=1-(-5)=6$

so,

base= 6

c) finally, replace in the formula

$\begin{gathered} \text{Area}_{triangle}=\frac{base\cdot heigth}{2} \\ \text{Area}_{triangle}=\frac{6\cdot10}{2}=\frac{60}{2}=30 \\ \text{Area}_{triangle}=30\text{ square units} \end{gathered}$

therefore, the answer is

A) 30 square units

I hope this helps you