GeoCon Problem 2.11
- Author:
- Ben Geels
Find point H on AB so that Dist(H, AC) = DH
Choose E on AC
draw EF perp AC
draw circle c (F,EF)
find G, intersection of c and AD
draw FG
draw HD parallel to FG
draw HI parallel to EF
point H is requsted point
Proof:
note that triangle EFG is isosceles (EF and FG are radii)
HD is parallel to FG an IH is parallel to EF so
triangle EFG is similar to triangle IHD
so triangle IHD is isoscles
eop