Question

what is the area of the triangle in square units? (1 point) 6 18 9 15

Explanation:

Step1: Calculate the base length

The base \(AC\) is calculated by the difference in \(x -\)coordinates. \(A(0,3)\) and \(C(6,3)\), so \(AC=\vert6 - 0\vert=6\)

Step2: Calculate the height

The height is the difference in \(y -\)coordinates between \(B\) and the line \(AC\). \(B(10,6)\), since \(y - \)coordinate of \(AC\) is \(3\), height \(h=\vert6 - 3\vert = 3\)

Step3: Use the triangle area formula

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

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Answer:

\(9\)