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Intermediate

The lunar twins

Three circles are tangent to each other. The black chords go through their tangency points. Prove that the red chord is a diameter of the largest circle.

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Solution

Solution by Jaihind Singh.

Poem

Blue or Red, the moons are 2
May be twins that will do
It happens the full moon squeezes in blue
A blue moon can also mean that’s untrue
They are on orbit in a mist,
They are now 2
They can rule life and feelings
Both reflect the light of the sun
A blessing boon from the moon

Bella

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