Congruence of triangles question- Question bank


Hi,

How did we conclude that line CN divides the triangle into two equal triangles? There is no congruence rule that has been used. The only one I can figure out is ASS ie. Angle ACD and common side CN and AN- but ASS is not a congruence rule

They’re not “equal” (congruent) triangles, but rather two triangles with the same area. This is because the base is the same (AN = BN), and the perpendicular from vertex C to side AB (height of each triangle) is shared by both triangles, ACN and BCN

Erm… how do we know that the AB is perpendicular.

CN' is the height for both \triangle ACN and \triangle BCN

That clears it up… Thank you!