The helmet

A circle, a semicircle, a chord and an altitude. What is the length of the latter in terms of a and b?

Scroll down for a solution to this problem.


The length x=√(ab).

Solution by Herbert Kainberger.


The helmet
Is very precious to protect
To stop the weapon and the bullet
For all these wars on the planet
And to protect the Democracy
To fight the enemy
For the army
Usually I am made of steel
Your lives depend of me
And how I keep away dangers
On roads from crashing


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