Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?
It can be observed that hexagonal-shaped rangoli has 6 equilateral triangles in it.
Area of ΔOAB
Area of hexagonal-shaped rangoli
Star-shaped rangoli has 12 equilateral triangles of side 5 cm in it.
Area of star-shaped rangoli =
Therefore, star-shaped rangoli has more equilateral triangles in it.