Question

if the perimeter of a equilateral triangle is "x"find its area​

Answer 1

Answer:

perimeter of equilateral triangle is = x

area =

p = 3a

= 3 × x

= 3x answer

Answer 2

Hey friend,

Here is the solution :-

➡ Perimeter of a equilateral triangle = 3a

( a = side)

Side of the triangle =

$x = 3a \\ \\ a = \frac{x}{3}$

Now, area of the triangle =

$\frac{1}{2} \times b \times h \\ \\ here \: b = \frac{x}{3} \: \: \: \: \: \: \: h = \frac{x}{3} \\ \\ \frac{1}{2} \times \frac{x}{3} \times \frac{x}{3} = \frac{1 \times x \times x}{2 \times 3 \times 3} = \frac{ {x}^{2} }{18}$

So, the area of the triangle is =

$\frac{ {x}^{2} }{18}$

✨I hope this will help you....✨