
The simplest triangles are :
Δ PNO; Δ PNM; Δ MPQ; Δ MQR; Δ AQP; Δ AQR; Δ BRA; Δ BRC; Δ SRC; Δ SCD; Δ SGR; Δ SGD; Δ DFG; Δ DFE; Δ TLM; Δ TJK; Δ TLK; Δ TIH;
The triangles composed of two components are:
Δ PON;
△ PMA;
△ APR; △ RAM;
△ RAC;
△ RGC;
Δ DGC;
Δ DGE;
Δ MPR;
Δ GRD;
△ DCR;
△ TMK;
Δ TKI;
Δ TIG
The triangles composed of four components are:
ΔAMO;△AMC;△CAG;Δ CGE;
Δ MKI;
Δ GIK;
Other triangles are:
ΔSPI;
ΔDQK
Total number of triangles
18+14+6+2=40