Find the coordinates of the incentre and centroid of the triangle whose sides have the equations `3x-4y=0,5 x+12y=0 and y-15=0.`

Explanation

To find the coordinates of the incentre and centroid of the triangle formed by the lines given by the equations \(3x - 4y = 0\), \(5x + 12y = 0\), and \(y - 15 = 0\), we will follow these steps:

### Step 1: Find the vertices of the triangle

We need to find the points of intersection of the lines to determine the vertices of the triangle.

1. **Intersection of Line 1 and Line 2:**
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