A triangle divided into four congruent triangles

All about geometry

A triangle divided into four congruent triangles

Postby Guest » Mon Feb 18, 2013 6:39 am

Prove that the line segments joining the middle points of the sides of a triangle divide into four congruent triangles.





Guest
 

Re: A triangle divided into four congruent triangles

Postby Jonasmathwork » Tue Aug 13, 2013 6:15 am

"Solution: Let the main triangle ABC
D be the mid point of AB there for AD=DB
E be the mid point of AC there for AE=EC
F be the mid point of BC there for BF=FC

Image

by the fig we can see that line segment DF is parallel to the line EC so DF=EC
similarly EF=AD
DE=FC
by the definition of congruent triangles theorem proved . " :)

Jonasmathwork
 
Posts: 23
Joined: Fri Jun 21, 2013 5:59 am
Reputation: 20


Return to Geometry



Who is online

Users browsing this forum: No registered users and 1 guest

cron