Question

the perimeter of an equilateral triangle is 54 cm find using heron's formula​

Answer 1

Step-by-step explanation:

According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is

A=

s(s−a)(s−b)(s−c)

where

s=

2

a+b+c

For the given triangle,

a=b=c=8cm

s=

2

8+8+8

=12

A=

12(12−8)(12−8)(12−8)

A=

3×4×4

3

=4×4

3

=16

3

Area of the triangle =

2

1

×base×altitude=16

3

2

1

×8× altitude=16

3

Altitude =

4

16

3

=4

3