Question

Find the area of an equilateral triangle whose perimeter is 24 cm.
Step by step explanation required ......​

Answer 1

Step-by-step explanation:

Equilateral triangle

Solve for area

A≈27.71cm²

P Perimeter

24

cm

Using the formulas

A=3

4a2

P=3a

Solving forA

A=3P2

36=3·242

36≈27.71281cm²

Answer 2

Answer:

The perimeter of equilateral triangle = 24 cm

Side of triangle = ?

Let the side of triangle be x

The perimeter of equilateral triangle = 24 cm

3 * x = 24

x = 24/3

x = 8 cm

The side of triangle is 8 cm

Area of equilateral triangle = √3 / 4 * side square

= √3/4 * 8*8

=√3/4 * 64

=√3* 16

= 1.732 * 16

= 27.712 cm square

Area of equilateral triangle = 27.712 cm square

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