Question

unit 7 coordinate geometry > lesson 3 area in the coordinate plane
fiona draws a triangle on a coordinate grid with vertices at (6,2), (4,6), and (1,2). what is the area in square units of fionas triangle?

Explanation:

Step1: Find the base length

The base is the distance between points $A(1,2)$ and $C(6,2)$. Using the distance formula for points on a horizontal line (since the $y -$coordinates are the same), the base $b=|6 - 1|=5$.

Step2: Find the height

The height is the vertical distance from the base (the line $y = 2$) to the point $B(4,6)$. So the height $h=|6 - 2| = 4$.

Step3: Calculate the area

Use the triangle - area formula $A=\frac{1}{2}bh$. Substitute $b = 5$ and $h = 4$ into the formula: $A=\frac{1}{2}\times5\times4=10$.

Answer:

10