Question

Calculati masurile unghiurilor unui triunghi stiind ca sunt direct proportionale cu nr 1,3 si 5

Answer 1

{a,b,c} d.p. {1,3,5}
a + b + c = 180
a/1=b/3=c/5=(a+b+c)/(1+3+5)=180/9=20=k

a = k = 20°
b =3k = 3 × 20 = 60°
c = 5k= 5×20 = 100°

Answer 2

a + b + c = 180

a/1= b/3 = c/5 = k
 
a = k, b = 3k, c = 5k

k + 3k + 5k = 180

9k = 180

k = 20°

a = k = 20° 

b =3·k = 60°

c = 5·k= 100°