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A regular octagon ABCDEFGH has sides of length two. Find the area of t

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Math Expert
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A regular octagon ABCDEFGH has sides of length two. Find the area of t  [#permalink]

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New post 19 Mar 2019, 01:21
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (02:14) correct 33% (04:23) wrong based on 9 sessions

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Joined: 27 Oct 2018
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Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
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Re: A regular octagon ABCDEFGH has sides of length two. Find the area of t  [#permalink]

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New post 19 Mar 2019, 10:56
Bunuel wrote:
A regular octagon ABCDEFGH has sides of length two. Find the area of triangle ADG.
(A) \(4 + 2\sqrt{2}\)
(B) \(6 + \sqrt{2}\)
(C) \(4 + 3\sqrt{2}\)
(D) \(3 + 4\sqrt{2}\)
(E) \(8 + \sqrt{2}\)

for the small corner triangles, it is a 45:45:90, so the side ration is \(1:1:\sqrt{2}\)
as the hypotenuse = 2, so the other sides = \(\sqrt{2}\) each

for triangle ADG:
height = \(2 + \sqrt{2}\)
base = \(2 + 2\sqrt{2}\)

so area = \(\frac{b*h}{2}\) =\(4 + 3\sqrt{2}\)

so C IMO
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Re: A regular octagon ABCDEFGH has sides of length two. Find the area of t   [#permalink] 19 Mar 2019, 10:56
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A regular octagon ABCDEFGH has sides of length two. Find the area of t

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