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What is the area of an equilateral triangle that has a perimeter of 36 centimeters? round to the nearest square centimeter. 15 square centimeters 25 square centimeters 62 square centimeters 72 square centimeters

Respuesta :

The area of an equilateral triangle with perimeter of 36 centimetres is 62 centimetre squared.

What is an equilateral triangle?

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

learn more on equilateral triangle here: https://brainly.com/question/10612194

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