8.
a. Notethat the midpointof side is locatedat the origin.Constructthe medianfrom vertex to theorigin,and call it. The pointof concurrencyof the threemedianswill be locatedon at point
that is two-thirdsof the way from to the origin.
b. Usingslopesand propertiesof straightlines,the pointcan be determinedto havecoordinates (, ).
c. Use the distanceformulato showthat point is two-thirdsof the way from eachof the othertwo vertices
to the midpointof the oppositeside.
- Constructa medianin an equilateraltriangle.The trianglescan be shownto be congruentby the SSS
postulate.
Altitudesin Triangles
LearningObjectives
- Constructthe altitudeof a triangle.