Question

Find the side of equilateral triangle if area is 24 cm^2

Answer 1

Answer:

Step-by-step explanation:by the formula of equilateral triangle I.e √3/4×s^2

Put the value√3/4×24×24

Which comes 144√3

Answer 2

Answer:

55.42 cm

Step-by-step explanation:

$\text{Let the side of the equilateral triangle be a.}\\\\\text{Then, area of triangle = } \dfrac{\sqrt{3}}{4} a^2\\\\\text{But, given area = 24 cm}^2\\\\\therefore \: \: \dfrac{a^2 \times \sqrt{3}}{4} = 24\\\\\\\implies a^2 = \dfrac{24 \times 4}{\sqrt{3}}\\\\\\\implies a = \sqrt{\dfrac{24 \times 4}{\sqrt{3}}} = \sqrt{\dfrac{24 \times 4}{1.732}}\\\\\\= \sqrt{\dfrac{96}{1.732}} \\\\= 55.42 \: cm$

Hope it helps.