Find area of the triangle formed by the points and using Heron's formula
Solve for area of the required triangle
Let the vertices of triangle be,
Step 1: Solve for lengths of and
We know that,
Distance between and
Step 2: Solve for area of triangle
Using Heron's formula
Area of triangle, where
Here,
Area of triangle
Area of the given triangle
Hence, area of the triangle with vertices and is