Question

area of triangles and parallelograms. what is the area of triangle abc? 4 square units. 2.5 square units. 2 square units. 3.5 square units.

Explanation:

Step1: Identify base and height

Assume \(A=(0,0)\), \(B=(3,4)\), \(C=(3,2)\). The base is the vertical distance from \(C\) to \(B\), which is \(4 - 2=2\) units. The horizontal distance from \(A\) to the line \(x = 3\) (where \(B\) and \(C\) are located) is \(3\) units, which is the height.

Step2: Apply area formula

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). Substitute base \( = 2\) and height \(=3\) into the formula: \(A=\frac{1}{2}\times2\times3\).

Step3: Calculate the area

\(A = 3\) square units.

Answer:

3 square units