Question

the coordinate plane shows triangle abc. what is the area of the triangle? enter your answer in the box. square units

Explanation:

Step1: Identify base and height

Assume we take the horizontal - distance as the base and the vertical - distance as the height. By counting the grid units, if we consider the base along the x - axis, the length of the base $b$ from the x - coordinates of two points of the triangle. Let's say the base is the distance between the x - coordinates of two points on the triangle. If we consider the base as the distance between the x - coordinates of the points where the vertical lines from the vertices meet the x - axis. The base $b = 5$ (from $x = 2$ to $x = 7$). The height $h=5$ (from $y = 1$ to $y = 6$).

Step2: Apply the triangle - area formula

The formula for the area of a triangle is $A=\frac{1}{2}bh$. Substitute $b = 5$ and $h = 5$ into the formula. So $A=\frac{1}{2}\times5\times5=\frac{25}{2}=12.5$.

Answer:

$12.5$