perplexus.info :: Geometry : Triangle bisector

Triangle bisector (Posted on 2020-10-18)

In triangle ABC, we have three edges with lengths BC=a, CA=b, AB=c, and 2c>a>b>c. P and Q are two points of the edges of triangle ABC, and the straight line PQ divides the triangle into two parts with the same area. Find the minimum value of the length of the line segment PQ.

No Solution Yet Submitted by Danish Ahmed Khan

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re: Solution with assumptions

Comment 2 of 2 |

(In reply to Solution with assumptions by Jer)

Yes! I agree that the required minimum value must be:

[c^2 - (a-b)^2]

PQ = V--[------------------- ]

[ 2 ]

Posted by K Sengupta on 2023-01-13 22:13:12

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