To find: The area of the equilateral
Answer to Problem 33PPS
The calculation shows that as the perimeter changes the area of the
Explanation of Solution
Given:
The perimeter of the triangle is 3 inches.
Calculation:
Consider the formula for the area of the regular polygon with the side length of s is,
Consider the isosceles triangle with the vertex at the centre of the pentagon with the segment that bisects the central
Figure 2
Find the tangent ratio with the help of the apothem as,
The area with the help of side length and the apothem is obtained as,
Replace
Then, for
Then, the value of
Then, the value of
Then, the value of
Then, the value of
Then, the value of
Thus, the calculation shows that as the perimeter changes the area of the polygon increases.
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