Question

intr-un triunghi masurile unghiurilor sunt direct proportionale cu numerele 2,3 si 5.sa se detemine masurile acestor unghiuri.

repede va rog,dau coronita

Answer 1

a/2=b/3=c/5=k
a=2k
b=3k
c=5k
a+b+c=180 grade
2k+3k+5k=180
10k=180
k=180/10
k=18
a=2*18=36
a=36 grade
b=3*18=54
b=54 grade
c=5*18=90 grade
c=90 grade

Answer 2

a/2=b/3=c/5=k
⇒a/2=k⇒a=2k;
⇒b/3=k⇒b=3k;
⇒c/5=k⇒c=5k;
⇒a+b+c=180
⇒2k+3k+5k=180
⇒10k=180
⇒k=18
⇒a=2·18⇒a=36[de grade-primul unghi];
⇒b=3·18⇒b=54[de grade-al doilea unghi];
⇒c=5·18⇒c=90[de grade-al treilea unghi];