The length of the apothem of the regular octagon will be equal to 1.75 cm
The regular octagon is the shape made up of the 8 sides or also the combination of the 8 isosceles triangles connected together side by side.
Here it is given:
Area of the Octagon = [tex]10.15\ cm^2[/tex]
The side of the octagon=1.45 cm
As we know that the octagon consists of the 8 isosceles triangles so the area of one triangle will be
[tex]= \dfrac{10.15}{8} =1.27\ cm^2[/tex]
Now the area of the isosceles triangle is given as:
[tex]A=\dfrac{1}{2} \times h\times b[/tex]
[tex]1.27=\dfrac{1}{2} \times h\times 1.45[/tex]
[tex]h=1.75\ cm[/tex]
Thus the length of the apothem of the regular octagon will be equal to 1.75 cm
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