Evenwith thesethreecases,we may still encounterspecialtrianglesthat exhibitinterestingproperties.
Example 1
Use a pieceof PattyPaper(tracingpaper),or any squarepieceof paperto exploreorthocentersof isosceles
.Note:PattyPapermay be purchasedin bulk from manyInternetsites.
Determineany relationshipsbetweenthe locationof the orthocenterand the locationof the incenter, circum-
center, and centroid.
First let’s recallthat you can constructan isoscelestrianglewith PattyPaperas follows:- Drawline segment.
- Fold point onto point to find the fold line.
- Locatepoint anywhereon the fold line and connectpoint to points and. (Hint:Locatepoint
as far awayfrom and as possibleso that you end up with a good-sizedtriangle.).Trace three