Brothers in arms

The tangency points of two tangents of a circle are connected. Three perpendiculars are drawn from a point on the circle, of which two have a given length. What’s the proportion red : yellow?

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Red : yellow is a : b.

Solution by Dr Rick.


Can be so good
Together in life
Without boundaries
Without wars
Just seeking for peace
Sharing emotions
Feelings are growing
On every face
Let’s built together
A new world

Dire Straits
“In the fear of alarm
You did not desert me
My Brothers in arms”


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One reply on “Brothers in arms”

Well, the solution is a/b considering that the segment which contains b is also tangent to the other point of contact. It might sound obvious but in the problem that was not very clear.

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