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Intermediate

Two steps forward

Two equilateral triangles share a vertex and have their bases on the same line. A third equilateral triangle is constructed from their apexes. Prove that its apex is also on that line.

Scroll down for a solution to this problem.

Solution

Solution by Dr Rick.

Visual solution

Solution without words by David Andriana.

Poem

2 steps forward
1 step back
To measure the progress
Ardeous and forward
When things are not smoothy
Like in a period of crisis
Sometimes it goes right
Sometimes it goes wrong
It’s a metaphor for a transition
Just stop or actively do it
Like the frog did to scale a water well

Bella

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