Question

the side of an equilateral triangle is 12cm. find its area

Answer 1

area of equilateral triangle = √3/4 * a²
= √3/4 * 12 *12 
= 36 √3 cm²

Answer 2

side of the triangle = 12cm
area of the equilateral triangle = root3 X a2/ 4
here a means the side which is = 12
now, putting the values,
root 3 X 122 / 4
= 36 root 3 cm2
so, the area =​36 root 3cm2
now, also the area of triangle is 1/2 X base X height
here, area is 36 root 3 ; base = 12 ; height we have to find, let it be 'x'
so, putting up values,
= 36 root 3 = 1/2 X 12 X x
= 36 root 3 = 6x
= 6 root 3
therefore, answer : Area = 36 root 3
altitude i.e. height = 6 root 3
hoope now ur doubts are cleared