Question

what is the area of triangle rst?
6 square units
9 square units
12 square units
18 square units

Explanation:

Step1: Identify base and height

From the graph, if we consider the base along the line segment connecting \(R(-3, 2)\) and \(S(3,2)\), the length of the base \(b\) is \(| - 3-3|=6\). The height \(h\) from point \(T(0, - 1)\) to the line \(y = 2\) is \(|2-(-1)| = 3\).

Step2: Apply area formula

The area formula for a triangle is \(A=\frac{1}{2}bh\). Substitute \(b = 6\) and \(h=3\) into the formula: \(A=\frac{1}{2}\times6\times3\).

Step3: Calculate the area

\(A=\frac{1}{2}\times6\times3=9\).

Answer:

9 square units