Question

Bună . Imi poti oferi ajutor cu tema de acasa ?Multumesc

Answer 1

Problema:
93. Aflati masurile unghiurilor triunghiului ABC stiind ca sunt invers proportionale cu numerele 3; 4 si 6.

ΔABC  ==>  m(∡A) + m(∡B) + m(∡C) = 180°
Fie a = m(∡A); b = m(∡B) si c = m(∡C)

{a, b, c} i.p. {3, 4, 6}  ==>  3a = 4b = 6c = k
a = k / 3
b = k / 4
c = k / 6

Inlocuim in suma:
k / 3 + k / 4 + k / 6 = 180
(4k / 12) + (3k / 12) + (2k / 12) = 180
9k = 2160 ==>  k = 240

a = 80°
b = 60°
c = 40°

Answer 2

{a, b, c} i.p {3, 4, 6}=>3a=4b=6c
a=4b/3
6c=4b=>c=4b/6=2b/3
m(∡A)+m(∡B)+m(∡C)=180°
4b/3+b+2b/3=180°
6b/3+b=180°
2b+b=180°
3b=180°
b=180°/3
b=60°=>a=4*60°/3=80°
c=2*60°/3=40°