1)
i) find the number of equilateral triangles in the given figure.
(a) 6 (b) 4 (c) 3 (d) 8
= 6 because all the sides of the hexagon is equal so that they are equilateral.
2) ii) if the areas of two equilateral triangles are equal, then these are always
(a) similar only
(b)congruent only
(c) both similar and congruent
(d)none of these
= Congruent only ( they are equal sides with equal area.)
3)
iii) how many triangles are similar in the given figure
(a) 6
(b) 4
(c) 3
(d) 8
= 6 because all the sides of the hexagon is equal so that they are equilateral.
4) area = √3 a² /4
= √3× 4² /4
=√3 × 16/4
=√3 × 4
= 4√3 sq.unit
5) Area of one equilateral triangle is 4√3
in hexagon, it has 6 equilateral triangle, so the area of hexagon will be
= 6× 4√3
= 24√3 sq unit