Final answer:
The value of 'p' cannot be determined as the coordinates of the triangle's vertices are contradictory.
Step-by-step explanation:
To find the value of 'p' in the given triangle with vertices (3, 4), (-3, -2), and (p, -1), we can use the formula for the area of a triangle. Since the area is given as 18 sq. units, we can set up the equation:
Area = (1/2) * base * height
Substituting the given coordinates into the formula, we have:
18 = (1/2) * [(-3 - 3) * (-1 - 4)]
Simplifying further, we get:
18 = (1/2) * (-6) * (-5)
Now, solve for 'p':
18 = 15
Therefore, there is no value of 'p' that satisfies the given conditions. The coordinates of the triangle's vertices are contradictory, resulting in an impossible triangle.
Learn more about Triangle Area