You are fixing the roof of your house when a hammer breaks loose and slides down. the roof makes an angle of 65
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The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.
<h3>What is the area of a regular polygon?</h3>The area of the polygon is the product of half of the apothem of the triangle and perimeter.
The area of the polygon =
The side of the triangle is 10 units.
Apothem of an equilateral triangle
s=
s = 2.88
Here, a is the side of the triangle.
Thus the apothem of the triangle is 2.9 units.
The perimeter of the equilateral triangle is equal to the three times the sides.
Perimeter of the equilateral triangle ,
P = 3(10)
P = 30
Therefore, the perimeter of the equilateral triangle is 30 units.
The area of the equilateral triangle-
The area of the polygon =
A =
A = 43.5
Thus the area of the equilateral triangle is 43.5 squared units.
Therefore, The calculated areas of both are the same instead of using the different formulas.
Learn more about the apothem;
The area of a triangle could be determined using the following formula
plug in the numbers
a = 126
The area of the triangle is 126 square meters
plug in the numbers
a = 126
The area of the triangle is 126 square meters