# Change a Pentagon into a Triangle with Equal Area

#### Albert

##### Well-known member
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
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
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
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...

#### Albert

##### Well-known member
Hope you can upload a diagram ,so we can see it clearly