MTRP OBJECTIVE Q2
Source: MTRP 2024
March 16, 2024
combinatorics
Problem Statement
How many triangles are in this figure?
[asy]
import olympiad;
pair A = (0,0);
pair B = (0,1);
pair C = (0,2);
pair D = (0,3);
pair E = (0,4);
pair F = (1,0);
pair G = (2,0);
pair H = (3,0);
pair I = (4,0);
pair J = (1,4);
pair K = (2,4);
pair L = (3,4);
pair M = (4,4);
pair N = (4,3);
pair O = (4,2);
pair P = (4,1);
draw(A--E--I--A);
draw(M--E--I--M);
draw(B--F);
draw(C--G);
draw(D--H);
draw(L--N);
draw(O--K);
draw(P--J);
draw(B--F);
draw(B--F);
draw(H--P);
draw(G--O);
draw(F--N);
draw(B--L);
draw(C--K);
draw(D--J);
draw(A--M);
[/asy]