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 of the triangle

From the graph, the base \( BC = 4 - 2= 2\) units (vertical side), and the height (horizontal distance from \(A\) to the line \(BC\)) is \(3\) units.

Step2: Use the formula for the area of a triangle

The formula for the area of 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