Question

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

Explanation:

Step1: Determine the base and height

From the graph, the base \(GH\) of triangle \(GHJ\) is \(4 - 1=3\) units (using the \(x -\)coordinates of \(G(1,1)\) and \(H(4,1)\)), and the height (vertical distance from \(H\) to \(J\)) is \(5 - 1 = 4\) units (using the \(y -\)coordinates of \(H(4,1)\) and \(J(4,5)\)).

Step2: Use the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). Substitute \(base = 3\) and \(height=4\) into the formula: \(A=\frac{1}{2}\times3\times4\).
Calculate \(\frac{1}{2}\times3\times4=\frac{12}{2}=6\)

Answer:

6 square units