Us to find the area of a triangle given its vertices. We are given three points: A(1, 2), B(4, 2), and C(3, 5).

The problem asks us to find the area of a triangle given its vertices. We are given three points: $A(1, 2)$, $B(4, 2)$, and $C(3, 5)$.

There are several ways to calculate the area of a triangle given its vertices:

1. Using the Shoelace Formula: This is a general formula for polygons.
2. Using the Base and Height Formula: If we can easily find a base and its corresponding height.
3. Using the Distance Formula and Heron's Formula: Calculate the lengths of all three sides and then use Heron's formula. 4