Find the area of the triangle formed by the points `P(-1. 5 ,\ 3),\ Q(6,\ -2)\ a n d\ R(3,\ 4)dot`

Explanation

To find the area of the triangle formed by the points \( P(-1, 5), Q(6, -2), R(3, 4) \), we can use the formula for the area of a triangle given its vertices in coordinate geometry:

\[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| \]

Where \( (x_1, y_1) \), \( (x_2, y_2) \), and \( (x_3, y_3) \) are the coordinates of the points \( P \), \( Q \), and \( R \) respectively.

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