Question

using heron's formula find the area of an equilateral triangle of side 'a' units ​

Answer 1

EASY

Given:

Side of an equilateral triangle = 'x' cm

a= b= c= x cm

Area of a triangle = whole root of s(s-a)(s-b)(s-c)

Where s=a+b+c by 2

S= x+x+x+ by 2 = 3x by 2

Area = whole root of 3x by 2 [3x by 2 - x ][ 3x-2x by 2][3x by 2-2]

Whole root of 3x by 2 × 3x-2x by 2 × 3x-2x by 2 × 3x-2x by 2

Whole root of 3x by 2× x by 2× x by 2× x by 2

Whole root of 3x^ by 16

Whole root of 3×x power 4 by 16

Root 3 x^ by 4

HENCE PROVED PLS MARK BRAINLIEST