Question

find the area of equilateral triangle whose perimeter is 12m. [ by herons formula ]

Answer 1

Answer:

4√3m

Step-by-step explanation:

Let the each side of the triangle be x.

ATQ,

x+x+x=12

3x=12

x= 12/3

x= 4

Thus, each side of the triangle is 4m.

Area of the triangle= √s(s-a)(s-b)(s-c)

Where, s= a+b+c/2

= 4+4+4/2

=12/2

=6

By substituting the values,

√6(6-4)(6-4)(6-4)

=√6×2×2×2

=√2×3×2×2×2

=2×2√3

=4√3m

Therefore, the area of the triangle is 4√3m.