Question

what is the area of triangle abc?
2.5 square units
3 square units
3.5 square units
4 square units

Explanation:

Step1: Find the base and height

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

Step2: Use the 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: \(A=\frac{1}{2}\times2\times3\).

Answer:

\(3\) square units