Question

Triunghiul ABC
N,M,P apartine lui [BC]
BM=MN=NP=PC
Aria triunghiului ABC=144cm patrati
Q apartine [AC]
AQ=QC
C=Aria triunghiului APQ
Aria triunghiului AQP
Help pls?

Answer 1

BN=NC ,=> AN mediana in ABC. Stim ca mediana imparte triunghiul in 2 triunghiuri echivalente. Aria ANB = Aria ANC = Aria ABC / 2 =144/2=72

NP=PC => AP mediana in ANC => Aria ANP = Aria APC= Aria ANC/2 =

= 72/2=36

AQ=QC => PQ mediana in APC => Aria APQ = Aria APC/2=36/2=18