perplexus.info :: Geometry : Chord-Product

Chord-Product (Posted on 2018-01-27)

Let Γ be the circumcircle of ΔABC with radius R and let I and r
be its incenter and inradius respectively.

If PQ is an arbitrary chord of Γ that passes through I, then what is
the value of the product |PI|*|IQ| in terms of R and r?

See The Solution Submitted by Bractals

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Puzzle Answer

Comment 2 of 2 |

The required value of the product |PI |* |IQ | is 2Rr

Posted by K Sengupta on 2022-04-08 07:19:09

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