What is the area of the triangle having vertices (2, 7), (2, 3) and (5, 3)

Given:

The vertices of the triangle = (2, 7), (2, 3) and (5, 3)

Formula used:

The area of the triangle =     (Where x = y = The vertices of the triangle)

Calculation:

Let us assume the vertices (x1, y1), (x2, y2) and (x3, y3) are (6, -6), (3, -7) and (3, 3) respectively

⇒ The area of the triangle = 

⇒ 

⇒ 6 sq. unit

∴ The required result will be 6 sq.unit.

Additional Information The "Areas" measured by integration are actually signed areas, meaning they can be positive or negative. The areas below the x-axis are negative and the above the x-axis is positive.