MHB Area of FGHI: How to Calculate

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To calculate the area of FGHI, users are encouraged to ensure images are displayed directly in the post for better engagement. A member attempted to edit the original post to display the image but faced difficulties with the hosting service. Another user, Jameson, successfully fixed the image issue, allowing for clearer communication. Directly embedding images is recommended to facilitate responses and enhance understanding. Clear visuals are essential for effective problem-solving in mathematical discussions.
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Please find the area of FGHI
AreaofFGHI_zps690777d0.jpg
 
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Hey Albert,

I tried to edit your post to make the image display, but I couldn't get it to work. Does Photobucket give you the option to use a link within the IMG tags?

I'm afraid you will get fewer replies when people have to click a link to view the image.

edit: Jameson was kind enough to fix the image! (Yes)
 
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Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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