Q. 44.2( 82 Votes )

Complete the hexagonal and star shaped Rangolies [see Fig. 7.53 (i) and (ii)] 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?


Answer :



It can be observed that hexagonal-shaped rangoli has 6 equilateral triangles in it

Area of = (Side)2


= (5)2


=  x 25


= cm2


Area of hexagonal shaped rangoli = 6 x 


= cm2


Area of equilateral triangle having its side as 1 cm = (1)2


= cm2


Number of equilateral triangle of 1 cm side that can be filed in this hexagonal shaped rangoli = = 150


Star shaped rangoli has 12 equilateral triangles of side 5 cm in it


Area of star shaped rangoli = 12 * * (5)2


= 75


Number of equilateral triangles of 1 cm side that can b e filled in this star shaped rangoli =


= 300


Therefore, star shaped rangoli has more equilateral triangles in it

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