Question

show that area of equilateral triangle is root 3 by 4 x square if x is length of side of triangle​

Answer 1

Answer:

Step-by-step explanation:

Here semiperimeter=3x/2

Using heron's formula

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

=Root of 3/2x(3/2x-x)(3/2x-x)(3/2x-x)

=Root of 3/2x*1/2x*1/2x*1/2x

=Root of 3*1/2*1/2*1/2*1/2*X*X*X*X

=1/2*1/2*x*X*√3

√3/4x²

Note that in the first three steps, the whole equation is in root. I have only simplified it