Răspuns:
∡a = 75°
∡b = 45°
∡c = 60°
Explicație pas cu pas:
0,2 = 2/10 = 1/5
0,(3) = 3/9 = 1/3
0,25 = 25/100 = 1/4
{a,b,c,} i.p.{1/5, 1/3, 1/4}
a/5 = b/3 = c/4 = k
a = 5k
b = 3k
c = 4k
5k + 3k + 4k=180
12k = 180
k = 180 : 12
k = 15
∡a = 15 x 5 = 75°
∡b = 15 x 3 = 45°
∡c = 15 x 4 = 60°
sau
{a,b,c,} d.p.{5, 3, 4}
a/5 = b/3 = c/4 = (a + b + c) / (5 + 3 + 4) = 180 / 12 = 15
∡a = 15 x 5 = 75°
∡b = 15 x 3 = 45°
∡c = 15 x 4 = 60°
#copaceibrainly
