Question

graph △fgh with vertices f(-5, 8), g(8, 8), and h(-5, -8). what is the area of △fgh? area = square units

Explanation:

Step1: Find the base length

The points $F(-5,8)$ and $G(8,8)$ have the same $y -$coordinate. The length of the base $FG$ is the absolute - value of the difference in their $x -$coordinates. So, $FG=\vert8 - (-5)\vert=\vert8 + 5\vert = 13$.

Step2: Find the height length

The points $F(-5,8)$ and $H(-5,-8)$ have the same $x -$coordinate. The length of the height (the perpendicular distance from the vertex opposite the base to the base) is the absolute - value of the difference in their $y -$coordinates. So, the height $h=\vert8-(-8)\vert=\vert8 + 8\vert = 16$.

Step3: Calculate the area of the triangle

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Substitute the base $b = 13$ and height $h = 16$ into the formula: $A=\frac{1}{2}\times13\times16=104$.

Answer:

104