Respuesta :

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25.455m2
Explanation: split the triangle in half then do a2+b2=c2 and get the height then take the side multiply by the height you got and divide by two

Area of an equilateral triangle is 27√3 meter².

What is the Area of an Equilateral Triangle?

The area of an equilateral triangle is defined as the region covered within the three sides of the triangle. It is expressed in square units.

The area occupied by the sides of an equilateral triangle in a 2D plane is determined using the equilateral triangle area formula.

Area of an equilateral triangle = (√3/4)A², where A is the side of triangle

Sin30° = a/6 ⇒ a = 3

a² +b² = c²

3² + b² = 6²

b² = 6² - 3²

b² = 36 - 9

b = 3√3

So, side of triangle = 2×3√3 = 6√3

Area of an equilateral triangle = (√3/4)A²

Substitute the value of A = 6√3,

Area of an equilateral triangle = (√3/4)(6√3)²

Area of an equilateral triangle = (√3/4)(36×3)

Area of an equilateral triangle = 27√3 meter²

Learn about equilateral triangle here:

https://brainly.com/question/3461022

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