:salam2:
thnx for the puzzle.
Both triangles have same areas yet arrangements make different shapes.
In the first arrangement orange figure is over the green figure that makes figures balanced or even. The two slots of orange figure gets fitted in three slots of green figure. This makes 3 lines of 5 squares in vertical manner , in all 15 squares .
In the second arrangement orange figure is on the side of green figure making 2 lines of 8 squares in horizontal manner, making space of 16 squares, but there are in all 15 squares no matter how squares of orange and green figures counted. This extra space of 1 square leave a gap in second arrangement.
This is due to different geometrical arrangements, As in figure 1 the other coloured figures touch red figure from the side of ‘height of red figure’. In figure 2 the other coloured figures touch red figure from ‘side of base of red figure’. This changes the arrangement of constituent figures giving variety in shape. Still the figures could be arranged into further different arrangements although the areas of triangles remaining same in all arrangements. so net no loss no gain in areas of figures but a change in geometrical shape.
:salam2: