Answer:
43.5 units squared
Step-by-step explanation:
The area of a regular polygon is given as:
[tex] = \frac{1}{2} ap[/tex]
'a' is the apothem and 'p' is the perimeter.
The perimeter of the equilateral triangle is 3×10=30 units.
The apothem is given by:
[tex]a = \frac{s}{2 \sqrt{3} } [/tex]
[tex]a = \frac{10}{2 \sqrt{3} } [/tex]
[tex]a = 2.9[/tex]
Therefore the area is
[tex] \frac{1}{2} \times 2.9 \times 30 = 43.5[/tex]
The area will be equal to 43.5 units squared.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The area of a regular polygon is given as:
[tex]= \dfrac{1}{2}\times a\times p[/tex]
'a' is the apothem and 'p' is the perimeter.
The perimeter of the equilateral triangle is 3×10=30 units.
The apothem is given by:
[tex]a=\dfrac{s}{2\sqrt{3}}[/tex]
[tex]a=\dfrac{10}{2\sqrt{3}}[/tex]
a = 2.9
Therefore the area is
[tex]A =\dfrac{1}{2}\times 2.9\times 30[/tex]
A = 43.5 square units
Therefore area will be equal to 43.5 units squared.
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