Question

what is the area of triangle ghj?
5 square units
6 square units
7 square units
12 square units

Explanation:

Step1: Identify vertex coordinates

From the graph: $G(1,1)$, $H(4,1)$, $J(4,5)$

Step2: Calculate base length

Base $GH$ is horizontal: $\vert 4 - 1 \vert = 3$ units

Step3: Calculate height length

Height $HJ$ is vertical: $\vert 5 - 1 \vert = 4$ units

Step4: Apply triangle area formula

Area = $\frac{1}{2} \times \text{base} \times \text{height}$
$\text{Area} = \frac{1}{2} \times 3 \times 4$

Answer:

6 square units