Question

Find the area of an equilateral triangle whose perimeter is 24 cm.​

Answer 1

Answer:

8 cm

Step-by-step explanation:

Let the area of a triangle be x

x+x+x= 24cm

3x= 24cm

x= 24/3

= 8 cm

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Answer 2

$\huge\underline{\underline{\red{\textbf{Explanation : -}}}}$

To find :

• Area of equilateral triangle

Solution :

• perimeter of triangle = 24cm

Perimeter of equilateral triangle = sum of all sides

⠀⠀⠀⠀⠀›› 3 × a = 24

⠀⠀⠀⠀⠀›› a = 24/3

⠀⠀⠀⠀⠀›› a = 8cm

Measure of Side of equilateral triangle is 8cm

$\boxed{\underline{\blue{\sf{Area\:of\: equilateral\: triangle= \frac{\sqrt{3}}{4}a^{2}}}}}$

= √3/4 × 8²

= √3/4 × 64

= √3 × 16

= 16√3 cm³

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