Change a Pentagon into a Triangle with Equal Area

[Albert1]

ABCDE is a pentagon,now please construct a triangle APQ
,and both of them must have the same area

 

[Prove It]

Re: change the shape of a pentagon into a triangle with equal area

Are we assuming this is a regular pentagon?

 

[Albert1]

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 I would be inclined to split the pentagon into three triangles, you should be able to find the area of each triangle using $$\displaystyle \begin{align*} \frac{1}{2}ab\sin{(C)} \end{align*}$$ or some other method...

 

[Albert1]

Hope you can upload a diagram ,so we can see it clearly
,I will upload mine later

 

[Albert1]

please see the answer below
View attachment 998