Question

Find the area of the triangle enclosed by these lines with the following vertices. y = x, x = 0, y = 5 (0,0), (0,5), (5,5)

Answer 1

The are of the triangle will be 12.5 units.

On marking the given vertices (0,0), (0,5), (5,5) of the triangle we get, the base of the triangle = 5 units and height of the triangle = 5 units.

Now, we know area of triangle = $\frac{Base * Height}{2} \\ \\ = \frac{5 *5}{2} \\ \\ = \frac{25}{2} \\ \\ = 12.5 units.$