Question

using heron s formula find the area of equlateral triangle whose perimeter is 60cm​

Answer 1

Answer:

Step-by-step explanation:

Equilateral triangle

Solve for area

A≈173.21

P Perimeter - 60

Answer 2

Step-by-step explanation:

All sides of equilateral triangle are equal.

Perimeter of equilateral triangle = 60 cm

3 × Side = 60

Side = 60 / 3 = 20

Each Side = 20 cm

Now,

Semi-perimeter,s = ( Sum of all sides ) / 2

s = ( 20 + 20 + 20 ) / 2

s = 30

Using herons formula

= √ s ( s - a ) ( s - b ) ( s - c )

Here, a = b = c = sides of triangle = 20 cm

= √ 30 ( 30 - 20 ) ( 30 - 20 ) ( 30 - 20 )

= √ 30 × 10 × 10 × 10

= √ 3 × 10 × 10 × 10 × 10

= 10 √ 3 × 10 × 10

= 10 × 10 √3

= 100√3

Area of triangle = 100√3 cm²