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The Olympic bowl

A parabola is tangent to the equal sides of an isosceles triangle in its equal vertices. Another tangent is drawn as shown. Prove that the red line segments are congruent.

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Solution

Solution by Barış Altay.

Poem

The Olympic bowl
Is waiting patiently
The torchbearer carrying the torch
Passing from participant to participant
Ready for the flame
Ready for the games
All nations celebrate
The flame coming from Olympie
Athletes, leaders, celebrities
Carried it
For the opening ceremony

Bella

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