Question

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

Explanation:

Step1: Identify coordinates

From the graph, \( A(0,0) \), \( B(3,4) \), \( C(3,2) \). The base \( BC \) has length \( |4 - 2| = 2 \), and the horizontal distance from \( A \) to \( BC \) (height) is \( 3 \) (since \( x \)-coordinate of \( B \) and \( C \) is \( 3 \)).

Step2: Apply triangle area formula

The area of a triangle is \( \frac{1}{2} \times \text{base} \times \text{height} \). So, \( \frac{1}{2} \times 2 \times 3 = 3 \).

Answer:

3 square units