Find the values of k if area of tringle is 4 sq. units and dvertices are : (i) (k,0), (4,0), (0,2)

Explanation

To find the values of \( k \) such that the area of the triangle formed by the vertices \( (k, 0) \), \( (4, 0) \), and \( (0, 2) \) is \( 4 \) square units, we can use the formula for the area of a triangle given by its vertices:

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

### Step 1: Assign the vertices
Let:
...