Question

if a side of a equilateral triangle is x unit , then find area of triangle (using herons formula)​

Answer 1

Answer:

$s = \frac{a + b + c}{2} \\ \ \sqrt{} {(s - a)(s - b)(s - c)}$

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

The sides of triangles are x,x,x units

$s = \frac{x + x + x}{2} = \frac{3x}{2}$

Using Heron's formula

Area of equilateral triangle is

$\sqrt{s(s - a)(s - b)(s - c)} \\ \sqrt{ \frac{3x}{2} \ \: } \times \frac{x}{2} \times \frac{x}{2} \times \frac{x}{2} = \frac{ \sqrt{3} }{2} {x}^{2}$