A right isosceles triangle contains another triangle. What is the angle α? Advanced if no trigonometry is used.
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Solution
The angle α is 15°.
Poem
Shadows everywhere
Lights have a shut down
What happened to the World
Just hate
Killing
Murdering
Lights have a shut down
No proof of sun
The stars are gone
No hope
Darkness
And torture
The lights are gone
2 replies on “Drop shadow II”
The first picture gives a proof, that alpha = 15° by embedding the problem in a dodecagon, using an idea of Stan Fulger found at
https://gogeometry.com/school-college/4/p1358-dodecagon-regular-concurrency-diagonal-infographic-classes.htm
The second picture is to show that alph = 15° is the only solution.
Here is the “first” picture