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Change a Pentagon into a Triangle with Equal Area

Albert

Well-known member
Jan 25, 2013
1,225
ABCDE is a pentagon,now please construct a triangle APQ
,and both of them must have the same area
 

Prove It

Well-known member
MHB Math Helper
Jan 26, 2012
1,403
Re: change the shape of a pentagon into a triangle with equal area

Are we assuming this is a regular pentagon?
 

Albert

Well-known member
Jan 25, 2013
1,225
Re: change the shape of a pentagon into a triangle with equal area

Are we assuming this is a regular pentagon?
it may not be a regular pentagon
 

Prove It

Well-known member
MHB Math Helper
Jan 26, 2012
1,403
Well I would be inclined to split the pentagon into three triangles, you should be able to find the area of each triangle using [tex]\displaystyle \begin{align*} \frac{1}{2}ab\sin{(C)} \end{align*}[/tex] or some other method...
 

Albert

Well-known member
Jan 25, 2013
1,225
Hope you can upload a diagram ,so we can see it clearly
,I will upload mine later
 

Albert

Well-known member
Jan 25, 2013
1,225
please see the answer below
pentagon.jpg