Three circles with their centres and a triangle ABC. Given that D is the midpoint of BC, prove that quadrilateral ABEF and triangle ECF have both equal perimeter and equal area.

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## Solution

## Poem

Ceteris paribus

“All things being equal”

But it’s not so easy

Things are changing

Around us and in life

Our choices

And our mistakes

What is constant and equal

Is our changing

Even if we try to do the best