MathDB

1

Part of 1997 Czech and Slovak Match

Problems(1)

find ratio so segments are perpendicular inside equilateral

Source: Czech and Slovak Match 1997 P1

10/1/2017
Points KK and LL are chosen on the sides ABAB and ACAC of an equilateral triangle ABCABC such that BK=ALBK = AL. Segments BLBL and CKCK intersect at PP. Determine the ratio AKKB\frac{AK}{KB} for which the segments APAP and CKCK are perpendicular.
ratioEquilateral Triangleperpendiculargeometry