Closely related to the equilateral arch in Exercise 51 is
Chapter 6, Problem 52(choose chapter or problem)
Closely related to the equilateral arch in Exercise 51 is the equilateral curved triangle shown in Figure C. Just as with the equilateral arch in Exercise 51, the design begins with the equilateral triangle ABC. Circular arcs are then constructed on each side of the triangle, following the method explained in Exercise 51. Figure C (a) In Figure C, let s denote the length of a side of the equilateral triangle ABC. Express the perimeter and the area of the equilateral curved triangle in terms of s. (b) Show that the area of the equilateral triangle ABC is approximately 61% of the area of the equilateral curved triangle ABC.
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