Question

using the figure below, find the area of the triangle on the coordinate plane. area = 1/2 b x h. find the area of the triangle in the coordinate plane. multiple - choice question area = 22 ft² area = 60 ft² area = 30 ft² area = 5 ft²

Explanation:

Step1: Find base length

Base $AB$ has $x$-coordinates same. $y$-coordinates are $1$ and $7$. So length $b = 7 - 1=6$.

Step2: Find height

Height from $C(7, - 5)$ to line $AB$ (vertical distance) with $x = 2$. So height $h=7 - 2 = 5$.

Step3: Calculate area

Area $A=\frac{1}{2}\times b\times h=\frac{1}{2}\times6\times5 = 15$.

Answer:

$15$