Question

hallar el total de triángulos que se obserban
a) 20
b) 30
c) 40
d) 50
e) 60
​

Answer 1

Respuesta:

60 creo............. .....

Answer 2

Respuesta:

60

Explicación paso a paso:

vamos a representar los triángulos con una T y cada cuadrito con números entonces quedaría

T1= 1,2,3,4,5=5

T2= 1,2;2,3;3,4;4,5;1,6;2,7;3,8;4,9;5,10=9

T3= 1,2,3;2,3,4;3,4,5;1,6,11;2,7,12;3,8,13;4,9,14;5,10,15=8

T4= 1,2,3,4;2,3,4,5;1,6,11,16;2,7,12,17;3,8,13,18;4,9,14,19;5,10,15,20;1,2,6,7;2,3,7,8;3,4,8,9;4,5,9,10=11

T5= 1,2,3,4,5= 1

T6= 1,2,3,6,7,8;2,3,4,7,8,9;3,4,5,8,9,10;1,2,6,7,11,12;2,3,7,8,12,13;3,4,8,9,13,14;4,5,9,10,14,15=7

T7= no hay

T8= 1,2,3,4,6,7,8,9;2,3,4,5,7,8,9,10;1,2,6,7,11,12,16,17;2,3,7,8,12,13,17,18;3,4,8,9,13,14,18,19;4,5,9,10,14,15,19,20= 6

T9= 1,2,3,6,7,8,11,12,13;2,3,4,7,8,9,12,13,14;3,4,5,8,9,10,13,14,15= 3

T10= 1,2,3,4,5,6,7,8,9,10= 1

T11= No hay

T12= 1,2,3,4,6,7,8,9,11,12,13,14;2,3,4,5,7,8,9,10,12,13,14,15;1,2,3,6,7,8,11,12,13,16,17,18;2,3,4,7,8,9,12,13,14,17,18,19;3,4,5,8,9,10,13,14,15,18,19,20= 5

T13= No hay

T14= No hay

T15= 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15= 1

T16= 1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,18;2,3,4,5,7,8,9,10,12,13,14,15,17,18,19,20= 2

T17= No hay

T18= No hay

T19= No hay

T20= 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20= 1

Sumamos todos los resultados que es este caso sería

5+9+8+11+1+7+6+3+1+5+1+2+1=60

Espero que te sirva