Question

If side of an equilateral triangle is p then formula for area is​

Answer 1

Answer:

Area of a triangle= √s(s-a)(s-b)(s-c)

Here, a, b and c = p

(a, b and c are the sides of the triangle)

Here, s = 3p/2 ( s = (a + b + c)/2)

Therefore the area of the equilateral triangle is

√3p/2(3p/2 - p)(3p/2 - p)(3p/2 - p)

√3p/2(p/2)(p/2)(p/2) [ The value of 3p/2 - p is p/2 ]

√3p/2(p^3/8)

√3p^4/16

= 3p^2/4