Question

if the area of equilateral triangle is 3√3cm² then find its height​

Answer 1

The area of an equilateral triangle = [a^2*3^0.5]/4 where a is the side. The height of the triangle = a sin 60 = 18 x sin 60 = 15.58845727 cm. Answer: the height of the equilateral triangle whose area is 81*3^0.5 is 15.58845727 cm. Check Area = bh/2 = 18 * 15.58845727/2 = 140.2961154 sq cm same as 81*3^0.5.