The area of an equilateral triangle with perimeter of 36 centimetres is 62 centimetre squared.
<h3>What is an equilateral triangle?</h3>
An equilateral triangle is a triangle that has all its sides and angles equal to each other.
Therefore,
perimeter = 36 cm
Each side = 36 / 3 = 12 cm
Hence,
area = 1 / 2 bh
h² = 144 - 36
h = √108
h = 10.3923048454
h = 10.4
Hence,
area = 1 / 2 × 12 × 10.4
area of the equilateral triangle = 124.8 / 2
area of the equilateral triangle = 62.4
area of the equilateral triangle = 62 cm²
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