Triangle formed by lines 3x+y+4=0 , 3x+4y-15=0 , 24x-7y-3=0 is?

Question

The ans given is isosceles.maybe there must be a small correction in question.so can anyone post the correct question so that ans is isosceles 

Answer 1

I used Desmos to graph these 3 lines and get the intersections points. They were

(-31/9,19/3), (1,3), (-5/9,-7/3)

Based on the graph, I picked which points looked to be the same distance and used the distance formula to confirm.

√(-31/9-1)²+(19/3-3)² =50/9

√(1+5/9)²+(3+7/3)² =50/9

This shows it is at least isosceles since 2 sides are equal. Test the 3rd side to confirm that is that the same. If it were, it would be equilateral.