Question

The perimeter of an equilateral triangle is 72cm. Find its area.

Answer 1

Step-by-step explanation:

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Answer 2

Question :

The perimeter of an equilateral triangle is 72cm. Find its area.

Answer :

The area of the equilateral triangle is 249.408 cm^2.

Given :

The perimeter of an equilateral triangle is 72cm.

To find :

Area of the equilateral triangle

Solution :

We know, an equilateral triangle has length of all sides equal

Hence, length of a side = 72/3

= 24 cm

We also know,

area of an equilateral triangle =

$(\sqrt{3} \div 4) \times sides {}^{2}$

= 1.732 / 4 × 24^2

= 0.433 × 576

= 249.408 cm^2

Hence, the area of the equilateral triangle is 249.408 cm^2.

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