A square containing a quarter circle and a tangent line segment. What is a : b?

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## Solution

The proportion a : b is 1 : 2.

## Poem

Buddhas Belly

Chan Butai the big Buddha

A laughing Buddha

With it’s round belly

Is a symbol of prosperity

A joy of life and

Of wisdom

He helps to be lucky

He looks nice, his face feels kindly

The stomach is considered the seat of the soul

And a big heart

It’s just an allegory

## One reply on “Buddha’s belly”

the right triangle above on the right has sides b, (a+b)/2, and (3a/2+b/2).

For Pythagoras we obtain 2a2+ab-b2=0 and (2a-b)(a+b)=0 that has the only solution a=b/2. Tus a/b=1/2 and b=2a