Question

the graph shows a triangle formed by the x-axis,the line 3x-2y=0, and the line x+2y=10. Follow these steps to find the area of the triangle.

Answer 1

Find the point of intersection of the two lines, then find the height and the base, so,


`A=75/4`

Answer 2

`A = 18.75`

Explanation:

The point where the lines intersect to each other is:

(2.5,3.75)

From this point the triangle's base is derived.

The point where each line meet the horizontal axis, of which triangle's base is derived, are:

(0,0) and (10,0)

The area of the triangle is:

`A = (1)/(2)\cdot (10)\cdot (3.75)`

`A = 18.75`