Question

what is the area of △stu? area = square units

Explanation:

Step1: Identify base and height

From the graph, assume the base is the horizontal distance between points \(T\) and \(S\), and the height is the vertical distance from \(U\) to the line containing \(TS\). The \(x -\)coordinate of \(T=-6\), the \(x -\)coordinate of \(S = 8\), so the base \(b=\vert8 - (- 6)\vert=14\). The \(y -\)coordinate of \(U = 3\), the \(y -\)coordinate of \(T=-8\), so the height \(h=\vert3-(-8)\vert = 11\).

Step2: Apply area formula

The area formula for a triangle is \(A=\frac{1}{2}bh\). Substitute \(b = 14\) and \(h = 11\) into the formula: \(A=\frac{1}{2}\times14\times11\).
\[A = 7\times11=77\]

Answer:

77