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 of the triangle

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

Step2: Use the formula for the area of a triangle

The formula for the area of a triangle is \( A=\frac{1}{2}\times base\times height \). Substituting the values: \( A = \frac{1}{2}\times3\times4\).
Calculate \( \frac{1}{2}\times3\times4=\frac{12}{2}=6 \).

Answer:

6 square units