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The area of the triangle is 18 sq. units, whose vertices are (3, 4), (-3, -2) and (p, -1); then find the value of 'p'.​

User ChAlexey
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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

User Rogelio Blanco
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