Question

what is the area of the triangle?

Explanation:

Step1: Find the base length

The two points $(-6,3)$ and $(-1,3)$ have the same $y -$coordinate. The length of the base $b$ is the absolute - value of the difference in their $x -$coordinates. So, $b=\vert-1-(-6)\vert=\vert-1 + 6\vert = 5$.

Step2: Find the height

The height $h$ is the vertical distance from the point $(-3,-5)$ to the line $y = 3$. It is the absolute - value of the difference in the $y -$coordinates, $h=\vert3-(-5)\vert=\vert3 + 5\vert=8$.

Step3: Calculate the area

The area formula of a triangle is $A=\frac{1}{2}bh$. Substitute $b = 5$ and $h = 8$ into the formula: $A=\frac{1}{2}\times5\times8=20$.

Answer:

20