Notam masurile celor 3 unghiuri cu a, b si c.
6a = 4b = 3c = k
a = k/6
b = k/4
c = k/3
Dar a + b+ c = 180 (suma unghiurilor unui triunghi este 180 grade)
Atunci: k/6 + k/4 + k/3 = 180
2k/12 + 3k/12 + 4k/12 = 180
9k/12 = 180
9k = 12*180
k = 12*180/9 = 12*20 = 240
a = k/6 = 240/6 = 40 grade
b = k/4 = 240/4 = 60 grade
c = k/3 = 240/3 = 80 grade