Right triangle ABF is joined to regular pentagon BCDEF at BF. We are given the following lengths:

AF = 5 ft.
AB = 12 ft.
Apothem RS = 8.95 ft.

Find the perimeter and area of both the right triangle and the pentagon

Question

Right triangle ABF is joined to regular pentagon BCDEF at BF. We are given the following lengths: 

AF = 5 ft. 
AB = 12 ft. 
Apothem RS = 8.95 ft. 

Find the perimeter and area of both the right triangle and the pentagon

anonymous · Answer

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anonymous · Answer

just use the Pythagorean theorem to find the length of the hypotenuse of the triangle which's length is equal to the side of the regular pentagon. then use to formula to obtain the perimeter and the area.